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?

Question

Mathematics

Elisa

20 July, 13:03

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?

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Natalie Ewing · 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