IXL | Probabilities of compound events

If you pick one marble from each group, what is the probability of picking an orange marble from the first group and a blue marble from the second group?

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question

What is the probability of picking a green marble and spinning green?

Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

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 group of marbles. There are 11 marbles, so there are 11 possible outcomes.

Find the number of possible outcomes for the spinner. The spinner has 10 sections, so there are 10 possible outcomes.

Multiply to find the number of combinations:

11 × 10 = 110

There are 110 possible outcomes overall.

Find the number of favorable outcomes for the group of marbles. There are 2 green marbles, so there are 2 favorable outcomes.

Find the number of favorable outcomes for the spinner. The spinner has 3 green sections, so there are 3 favorable outcomes.

Multiply to find the number of combinations:

2 × 3 = 6

There are 6 favorable outcomes overall.

The probability of picking a green marble and spinning green is 6 out of 110, or 6/110.

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Lesson: Compound probability

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