You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number greater than 3 the second time.

Answer 1

Let

A = Event of rolling a 1 for the first time.

B = Event of rolling greater than 3 for the second time.

P(A) = 1/6

P(B) = 3/6 = 1/2

We are looking for P(A and B).

These two events are independent because one outcome of an event doesn't affect the other. Therefore:

P(A and B) = P(A) • P(B)

P(A and B) =(1/6)•(1/2) = 1/12