Question

One of the 50 states is chosen at random, then a die is rolled. Find the probability of getting a state that starts with the letter A, then a number less than 3.

Answer 1

2/75

Explanation:

there are 4 states that begin with A (Alabama, Alaska, Arizona, Arkansas).

P(state beginning with A) = 4/50.

on a die, only 1 and 2 are less than 3.

P(less than 3) = 2/6 = 1/3.

P(state beginning with A) followed by P(less than 3)

= 4/50 X 1/3

= 4/150

= 2/75