Question

A dice is rolled twice, what is the probability of getting a 2 on the first roll and a prime number on the second roll ?

Answer 1

The numbers which can appear when a dice is rolled are 1, 2, 3, 4, 5, 6.

Thus, P(getting 2 on the first roll and a prime number on the second roll ) = $\frac{1}{6}\times \frac{3}{6}=\frac{1}{12}$