Question

What is the probability that you will randomly select a Shirley's name from the list below and then roll an even number on a number cube?
Names: Shirley, Shane, Shawn, and Shandra
1. 1/2
2. 1/8
3. 1/6
PLEASE HELP!!

Answer 1

1. The probability to select a Shirley's name from the list of names: Shirley, Shane, Shawn, and Shandra is 1/4 (choose one name from 4 names).

2. The die has 6 numbers on its faces: 1, 2, 3, 4, 5, 6. Thre numbers are odd and three numbers are even. Then probability to roll even number is 3/6=1/2.
3. Use the product rule to determine the probability that you will randomly select a Shirley's name from the list and then roll an even number on a number cube:

$P= \frac{1}{4} \cdot \frac{1}{2} = \frac{1}{8}$.

Answer: $P= \frac{1}{8}$.