Question

Ten slips of paper labeled from 1 to 5 are placed in a hat. The first slip of paper is not replaced before selecting the second slip of paper.

What is the probability of selecting a number less than 3 then a number greater than 4?




3/50

1/15

3/100

1/10

Answer 1

1/10

Explanation:

There are two numbers less than 3 (1 and 2), and one number greater than 4 (5).

When the first slip is drawn, there are five slips in the hat, so the probability of a number less than 3 is 2/5.

When the second slip is drawn, there are four slips in the hat, so the probability of a number greater than 4 is 1/4.

Therefore, the total probability is (2/5) (1/4) = 1/10