IXL | Probability of compound events | 7th grade math - Free Printable

Let’s solve this step by step.

We have two separate events:
1. Spinning a green section on the spinner.
2. Rolling a six on a standard die.

These are independent events, so we multiply their probabilities to find the probability of both happening together.

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Step 1: Find the probability of spinning green.

Look at the spinner. It is divided into 8 equal sections.

Count how many are green: There are 3 green sections.

So, probability of spinning green = number of green sections / total sections = 3/8.

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Step 2: Find the probability of rolling a six.

A standard die has 6 sides: 1, 2, 3, 4, 5, 6.

Only one side is a six.

So, probability of rolling a six = 1/6.

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Step 3: Multiply the probabilities (since both must happen).

Probability of green AND six = (3/8) × (1/6)

Multiply numerators: 3 × 1 = 3
Multiply denominators: 8 × 6 = 48

So, 3/48

Simplify the fraction: divide numerator and denominator by 3 → 1/16

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Final Answer:
1/16