IXL | Probabilities of compound events

If you pick one marble from each group, what is the probability of picking two green marbles?

28 out of

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question

What is the probability of spinning yellow and flipping heads?

out of 10

key idea

The probability is the number of favorable outcomes out of the number of possible outcomes. The number of outcomes for a compound event is the product of the number of outcomes for each individual event.

solution

Find the number of possible outcomes for the spinner. The spinner has 5 sections, so there are 5 possible outcomes.

Find the number of possible outcomes for the coin. The coin has two sides, so there are 2 possible outcomes.

Multiply to find the number of combinations:

5 × 2 = 10

There are 10 possible outcomes overall.

Find the number of favorable outcomes for the spinner. The spinner has 0 yellow sections, so there are 0 favorable outcomes.

Find the number of favorable outcomes for the coin. 1 side is heads, so there is 1 favorable outcome.

Multiply to find the number of combinations:

0 × 1 = 0

There are 0 favorable outcomes overall.

The probability of spinning yellow and flipping heads is 0 out of 10.

Looking for more? Try these:

Lesson: Compound probability

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Lesson: Compound probability

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