Assignment 5

Assignment-5 MTH-252 1) An integer is chosen at random from the first 200 positive integers. What is the probability that the integer chosen is divisible by 6 or 8? 2) Four persons are chosen at random from a group containing 3 men, 2women, and 4children.Show that the chance that exactly two of them will be children is 5/21 3) Two dice are tossed once. Find the probability of getting an even number on the first die or a total of 8 4) If B 5) A box contains 6 red, 4 white and 5 black balls. A person draws 4 balls from the box at random. Find the prob. That among the balls drawn there is atleast one ball of each colour. 6) There are n guests at a party. 2 of them do not get along well with each other. In how many ways can they be seated in a row so that these two persons do not sit next to each other? 7) How many different choices can be made of selections out of 15 maths, 10 numerical analysis and 12 operation research books when atleast one book is to be selected. 8) Four cards are drawn at random from a pack of 52 cards. Find the prob. That d. they are a king, a queen, a jack and a ace e. 2 are kings and 2 are reds f. 2 are black and 2 are red 9) In how many ways can 4 mathematics books, 3 history books,3 chemistry books and 2 sociology books can be arranged on a shelf so that all books of the same subject are together. 10) An urn contains 6 white , 4red and 9 balck balls,if three balls are drawn at random , find the probability that g. 2 of the balls are drawn white h. One is of each colour i. None is red j. Atleast one is white