Question

A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E IS spun

What is the probability of rolling a number greater than 2 and spinning a vowel?

Answer 1

4/15

Explanation:

Sample Space (List of possible outcomes)

• 1A, 1B, 1C, 1D, 1E, 2A, 2B, 2C, 2D, 2E, 3A, 3B, 3C, 3D, 3E, 4A, 4B, 4C, 4D, 4E, 5A, 5B, 5C, 5D, 5E, 6A, 6B, 6C, 6D, 6E
• Total outcomes = 6 x 5 = 30

Conditions

• Number greater than 2
• Vowel

Space for Listed Outcomes (with conditions applied)

• 3A, 3E, 4A, 4E, 5A, 5E, 6A, 6E
• Outcomes = 4 x 2 = 8

Probability

• Listed outcomes / Total outcomes
• 8/30
• 4/15