A box contains some red balls and some green balls

Math Aug 21, 2021

A box contains some red balls and some green balls. If we choose randomly two balls from the box, they are of the same colour with probability 1. Which of the following could be the total number of the balls in the box? A) 81 B) 101 C) 1000 D) 2011 E) 10001

Expert Solution

Suppose there are x red and y green balls, then same probability of red and green balls (0.5) means x=y and thus sum of balls = 2x

which is an even number. Thus the only possibility is 1000 (even number).

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