Question

A box contains 65 balls numbered from 1 to 65. If 9 balls are drawn with replacement, what is the probability that at least two of them have the same number

Answer 1

Probabilty= 7.66*10^-3

Explanation:

A box contains 65 balls numbered from 1 to 65.

9 balls are drawn with replacement.

Probabilty of selecting a number = 1/65

Probabilty of selecting a number

= 0.0154

Probabilty of at least 2 numbers out of 9 selected to have Same number

Probabilty= 9C2(0.0154)^2(0.9846)^7

Probabilty= 7.66*10^-3