Question

A box contains 10 balls numbered from 1 to 10 inclusive. if ann removes a ball at random and replaces it, and then jane removes a ball at random, what is the probability that both women removed the same ball?

Answer 1

The probability of the first event happening is 1/10 or 0.1
If Ann puts the ball back, there are still 10 balls of which, Ann removed 1. Therefore the probability of the second event is also 0.1.
0.1x0.1=0.01, which is the probability that both women removed the same ball