Probability 9 Sept
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PROBABILITY AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship OPEN FOR ALL FREE FOR ALL
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
PROBABILITY Dr. T.K. Jain.
AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk, www.afterschoool.tk www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If I toss a coin 2 times, what are the total possibilities? • There are four possibilities: H= Head, T = tail • HH, HT, TT, TH
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
How many possibilities are there if we toss a dice 2 times? • 11,12,13,14,15,16,21,22,23,24,25,26,31,3 2,33,34,35,36,41,42,43,44,45,46,51,52,53 ,54,55,56,61,62,63,64,65,66 • Thus there are 6* 6 = 36 possibilities.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
We have two shooters, Goutam and Dhawal. There are 1/3 chances that each of them can shoot. Some they aim at the target, what is the possibility that the target is not hit by either of them (one shot each)? The chance that Dhawal will not hit is 2/3 (11/3). Same is the probability with Goti. So the total probability is 2/3 * 2/3 = 4/9 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
We have three shooters, Nidhi and Jayati & Sudha. There are 1/5 chances that each of them can shoot. they aim at the target, what is the possibility that the target is hit by either of them? The chance that it is not hit is 4/5*4/5*4/5 = 64/125 The chance that it is hit is 1-64/125 = www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS 61/125.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
We have 4 shooters, Manjari,Mayank, Jitu,, Sapna. There are 1/6 chances each of them can shoot. they aim at the target, what is the possibility that the target is NOT hit by either of them ? 5/6 *5/6*5/6*5/6 =625/1296
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
WHAT IS THE PROBILITY THAT I PICK UP A CARD FROM A PACK OF CARDS AND IT IS RED? • There are 26 cards which are red. • Thus the probability is 26/52 • Or ½ answer.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Sapna, Goutam and Nidhi try to solve some difficult questions in Maths. The probability that they can solve it is 1/6 (for each one). What is the probability that the problem will be solved? • The problem will not be solved: 5/6*5/6*5/6 = 125/216 • The problem will be solved : 1-125/216 • =91/216 answer www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Mayank, & Prateek try to solve some difficult questions in Maths. The probability that they can solve it is 1 / 4 (for each one). What is the probability that the problem will be solved? • 1 – (3/4 * ¾) = 7/16 answer
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Dhawal, Prateek, Sapna, Jayati try to solve some difficult questions in Maths. The probability that they can solve it are : ¼, 1/5, 1/6, 1/6 (respectively). What is the probability that the problem will be solved? • ¾*4/5*5/6*5/6 = 300/720 • 1-300/720 = 420/720 or 7/12 answer www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw a ball, it is green ball from a basket containing 5 red and 10 green balls? • There are 10 green balls out of total 15 balls, so the probability is 10/15 or 2/3 answer.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 2 balls, they are green balls from a basket containing 5 red and 10 green balls? • • • • • •
10/15 * 9/14 =90 /210 =3/7 this question can also be solved as : 10c2 / 15c2 =10*9/2*1 divided by 15*14/2*1 =45/105 or 3/7 answer www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 3 balls, they are green balls from a basket containing 5 red and 10 green balls? • 10/15*9/14*8/13 =72/273 • Or : 10 C 3 / 15C 3 • (10*9*8)/(3*2*1) divided by (15*14*13/3*2*1) • =72/273 =24/91 answer www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 4 balls, they are green balls from a basket containing 5 red and 10 green balls? • 10/15*9/14*8/13*7/12 = 14/91 OR • 10C4 / 15C4 • =(10*9*8*7) / (4*3*2*1) Divided by (15*14*13*12*)/(4*3*2*1) • =14/91 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 6 balls, they are green balls from a basket containing 5 red and 10 green balls? • 10C6 / 15 C 6 • (10*9*8*7*6*5)/(6*5*4*3*2*1) divided by (15*14*13*12*11*10)/(6*5*4*3*2*1) • =210 / 5005 • =42/1001 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A bag contains 30 balls numbered from 1 to 30. What is the probability that if I draw a ball, it contains numbers in the multiple of 7? • 4 / 30 or 2/15 answer. (there are only 4 multiples of 7 till 30, these are 7,14,21,28).
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A bag contains 30 balls numbered from 1 to 30. What is the probability that if I draw a ball, it contains numbers in the multiple of 5? • 6/30 or 1/5 answer.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
ABOUT AFTERSCHO☺OL Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Why such a programme? • To promote people to take up entrepreneurship and help develop the society • To enable people to take up franchising and other such options to start a business / social development project • To enable people to take up social development as their mission • To enable people to promote spirituality and positive thinking in the world www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Who are our supporters? • Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us. • You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
About AFTERSCHO☺OL PGPSE – the best programme for developing great entrepreneurs • • • • •
Most flexible, adaptive but rigorous programme Available in distance learning mode Case study focused- latest cases Industry oriented practical curriculum Designed to make you entrepreneurs – not just an employee • Option to take up part time job – so earn while you learn • The only absolutely free course on internet www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Workshops from AFTERSCHO☺OL • • • • • • • • •
IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur Aravali Institute of Management, Jodhpur Xavier Institute of Management, Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Flexible Specialisations: • • • • • • • • • •
Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion Retail sector, BPO, KPO Accounting & Information system (with CA / CS /CMA) Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social relevance
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Salient features: • The only programme of its kind (in the whole world) • No publicity and low profile course • For those who want to achieve success in life – not just a degree • Flexible – you may stay for a month and continue the rest of the education by distance mode. / you may attend weekend classes • Scholarships for those from poor economic background • Latest and constantly changing curriculum – keeping pace with the time • Placement for those who are interested • Admissions open throughout the year • Latest and most advanced technologies, books and study material www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Components • • • • • • • • • • • • • •
Pedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) Meditation, spiritualisation, and self development Essential softwares for business Business plan, Research projects Participation in conferences / seminars Workshops on leadership, team building etc. Written submissions of research projects/articles / papers Interview of entrepreneurs, writing biographies of entrepreneurs Editing of journals / newsletters Consultancy / research projects Assignments, communication skill workshops Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Pedagogy • • • • • • • • •
Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment Mentoring and counselling Study exchange programme (with institutions out of India) • Rural development / Social welfare projects www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Branches • AFTERSCHO☺OL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Case Studies • We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Basic values at AFTERSCHO☺OL • • • • • •
Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support and help • Ask fundamental questions : why, when, how & where? • Embrace change – and compete with yourself only www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
PROBABILITY Dr. T.K. Jain.
AFTERSCHO☺OL Centre for social entrepreneurship Bikaner M: 9414430763 [email protected] www.afterschool.tk, www.afterschoool.tk www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
If I toss a coin 2 times, what are the total possibilities? • There are four possibilities: H= Head, T = tail • HH, HT, TT, TH
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
How many possibilities are there if we toss a dice 2 times? • 11,12,13,14,15,16,21,22,23,24,25,26,31,3 2,33,34,35,36,41,42,43,44,45,46,51,52,53 ,54,55,56,61,62,63,64,65,66 • Thus there are 6* 6 = 36 possibilities.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
We have two shooters, Goutam and Dhawal. There are 1/3 chances that each of them can shoot. Some they aim at the target, what is the possibility that the target is not hit by either of them (one shot each)? The chance that Dhawal will not hit is 2/3 (11/3). Same is the probability with Goti. So the total probability is 2/3 * 2/3 = 4/9 www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
We have three shooters, Nidhi and Jayati & Sudha. There are 1/5 chances that each of them can shoot. they aim at the target, what is the possibility that the target is hit by either of them? The chance that it is not hit is 4/5*4/5*4/5 = 64/125 The chance that it is hit is 1-64/125 = www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS 61/125.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
We have 4 shooters, Manjari,Mayank, Jitu,, Sapna. There are 1/6 chances each of them can shoot. they aim at the target, what is the possibility that the target is NOT hit by either of them ? 5/6 *5/6*5/6*5/6 =625/1296
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
WHAT IS THE PROBILITY THAT I PICK UP A CARD FROM A PACK OF CARDS AND IT IS RED? • There are 26 cards which are red. • Thus the probability is 26/52 • Or ½ answer.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Sapna, Goutam and Nidhi try to solve some difficult questions in Maths. The probability that they can solve it is 1/6 (for each one). What is the probability that the problem will be solved? • The problem will not be solved: 5/6*5/6*5/6 = 125/216 • The problem will be solved : 1-125/216 • =91/216 answer www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Mayank, & Prateek try to solve some difficult questions in Maths. The probability that they can solve it is 1 / 4 (for each one). What is the probability that the problem will be solved? • 1 – (3/4 * ¾) = 7/16 answer
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Dhawal, Prateek, Sapna, Jayati try to solve some difficult questions in Maths. The probability that they can solve it are : ¼, 1/5, 1/6, 1/6 (respectively). What is the probability that the problem will be solved? • ¾*4/5*5/6*5/6 = 300/720 • 1-300/720 = 420/720 or 7/12 answer www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw a ball, it is green ball from a basket containing 5 red and 10 green balls? • There are 10 green balls out of total 15 balls, so the probability is 10/15 or 2/3 answer.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 2 balls, they are green balls from a basket containing 5 red and 10 green balls? • • • • • •
10/15 * 9/14 =90 /210 =3/7 this question can also be solved as : 10c2 / 15c2 =10*9/2*1 divided by 15*14/2*1 =45/105 or 3/7 answer www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 3 balls, they are green balls from a basket containing 5 red and 10 green balls? • 10/15*9/14*8/13 =72/273 • Or : 10 C 3 / 15C 3 • (10*9*8)/(3*2*1) divided by (15*14*13/3*2*1) • =72/273 =24/91 answer www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 4 balls, they are green balls from a basket containing 5 red and 10 green balls? • 10/15*9/14*8/13*7/12 = 14/91 OR • 10C4 / 15C4 • =(10*9*8*7) / (4*3*2*1) Divided by (15*14*13*12*)/(4*3*2*1) • =14/91 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
What is the probability that when we draw 6 balls, they are green balls from a basket containing 5 red and 10 green balls? • 10C6 / 15 C 6 • (10*9*8*7*6*5)/(6*5*4*3*2*1) divided by (15*14*13*12*11*10)/(6*5*4*3*2*1) • =210 / 5005 • =42/1001 answer. www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A bag contains 30 balls numbered from 1 to 30. What is the probability that if I draw a ball, it contains numbers in the multiple of 7? • 4 / 30 or 2/15 answer. (there are only 4 multiples of 7 till 30, these are 7,14,21,28).
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
A bag contains 30 balls numbered from 1 to 30. What is the probability that if I draw a ball, it contains numbers in the multiple of 5? • 6/30 or 1/5 answer.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
ABOUT AFTERSCHO☺OL Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Why such a programme? • To promote people to take up entrepreneurship and help develop the society • To enable people to take up franchising and other such options to start a business / social development project • To enable people to take up social development as their mission • To enable people to promote spirituality and positive thinking in the world www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Who are our supporters? • Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us. • You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
About AFTERSCHO☺OL PGPSE – the best programme for developing great entrepreneurs • • • • •
Most flexible, adaptive but rigorous programme Available in distance learning mode Case study focused- latest cases Industry oriented practical curriculum Designed to make you entrepreneurs – not just an employee • Option to take up part time job – so earn while you learn • The only absolutely free course on internet www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Workshops from AFTERSCHO☺OL • • • • • • • • •
IIF, Delhi CIPS, Jaipur ICSI Hyderabad Branch Gyan Vihar, Jaipur Apex Institute of Management, Jaipur Aravali Institute of Management, Jodhpur Xavier Institute of Management, Bhubaneshwar Pacific Institute, Udaipur Engineering College, Hyderabad
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Flexible Specialisations: • • • • • • • • • •
Spiritualising business and society Rural development and transformation HRD and Education, Social Development NGO and voluntary work Investment analysis,microfinance and inclusion Retail sector, BPO, KPO Accounting & Information system (with CA / CS /CMA) Hospital management and Health care Hospitality sector and culture and heritage Other sectors of high growth, high technology and social relevance
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Salient features: • The only programme of its kind (in the whole world) • No publicity and low profile course • For those who want to achieve success in life – not just a degree • Flexible – you may stay for a month and continue the rest of the education by distance mode. / you may attend weekend classes • Scholarships for those from poor economic background • Latest and constantly changing curriculum – keeping pace with the time • Placement for those who are interested • Admissions open throughout the year • Latest and most advanced technologies, books and study material www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Components • • • • • • • • • • • • • •
Pedagogy curriculum and approach based on IIM Ahmedabad and ISB Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad) Meditation, spiritualisation, and self development Essential softwares for business Business plan, Research projects Participation in conferences / seminars Workshops on leadership, team building etc. Written submissions of research projects/articles / papers Interview of entrepreneurs, writing biographies of entrepreneurs Editing of journals / newsletters Consultancy / research projects Assignments, communication skill workshops Participation in conferences and seminars Group discussions, mock interviews, self development diaryng Mind Power Training & writing workshop (by Dr. T.K.Jain)
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Pedagogy • • • • • • • • •
Case analysis, Articles from Harvard Business Review Quiz, seminars, workshops, games, Visits to entrepreneurs and industrial visits Presentations, Latest audio-visuals Group discussions and group projects Periodic self assessment Mentoring and counselling Study exchange programme (with institutions out of India) • Rural development / Social welfare projects www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Branches • AFTERSCHO☺OL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Case Studies • We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs.
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Basic values at AFTERSCHO☺OL • • • • • •
Share to learn more Interact to develop yourself Fear is your worst enemy Make mistakes to learn Study & discuss in a group Criticism is the healthy route to mutual support and help • Ask fundamental questions : why, when, how & where? • Embrace change – and compete with yourself only www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk social entrepreneurship for better society
www.afterschoool.tk
AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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