5
AssignmentMultiple Choice

Compound Events and Sample Space

Question 5 • Common Core Math 7 - MA3107 CR

A spinner is separated into equal sections numbered 1 through 8. The spinner is spun, and two number cubes are rolled. How many possible outcomes contain all odd numbers?

Answer
A
12
B
20
C
36
D
288

Explanation

The spinner must land on an odd number: 1, 3, 5, or 7, giving 4 possibilities. Each number cube also has 3 odd faces (1, 3, and 5), so the two cubes have 3 × 3 = 9 outcomes with both numbers odd. Multiply the independent choices: 4 × 9 = 36. The correct choice is 36.

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