Tuesday, May 11, 2010

Probability

Probability question: Persons A and B go shopping together. Say person A spent X amount of money and B Y. What is the probability that the sum total of their purchases [i.e. X+Y] has 0 cents [i.e. is a whole number]. ?

Answer : The person A can have cents in the range of 0 to 99, and same with the case B. Thus they have 100 cases each, and total number of cases is 100x100. Out of them the cases of our interest is (0, 0) (1,99), (2, 98), (3, 97) ... (99. 1) is 100. So the probability is 100/10000 = 1/100.

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