Question

Ten slips of paper labeled from 1 to 10 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 an even number then a number greater than 7?

a. 3/25
b. 2/15
c. 1/6
d. 8/45

Answer 1

The probability of selecting an even number then a number greater than 7 is c) 1/6.

Step-by-step explanation:

To find the probability of selecting an even number and then a number greater than 7, we need to calculate the probability of each event separately and then multiply them together.

There are 5 even numbers (2, 4, 6, 8, 10) and 3 numbers greater than 7 (8, 9, 10) out of the total 10 numbers.

The probability of selecting an even number first is 5/10 = 1/2.

After the first even number is selected, there are only 9 slips of paper left, and the probability of selecting a number greater than 7 is 3/9 = 1/3.

To find the probability of both events happening, we multiply the probabilities together: (1/2) * (1/3) = 1/6.

Therefore, the probability of selecting an even number then a number greater than 7 is 1/6.