# 8.04 Probability of compound events

## Interactive practice questions

Is it possible for the following two events to happen at the same time?

1) It is a Friday

2) It is raining

No

A

Yes

B

No

A

Yes

B
Easy
Less than a minute

A die is rolled.

Is it possible for the following two outcomes to happen at the same time?

1) Rolling a $6$6

2) Rolling an odd number

A dog is randomly selected from the group of dogs shown.

Which of the following outcomes could happen at the same time?

A teacher has a "prize bag" filled with different prizes. The students form a line to draw a prize from the bag at random. Once a student has drawn a prize, they take it back to their desk.

Are their selections independent or dependent?

### Outcomes

#### MGSE7.SP.8

Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.

#### MGSE7.SP.8a

Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.

#### MGSE7.SP.8b

Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., â€œrolling double sixesâ€), identify the outcomes in the sample space which compose the event.