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8.06 Probability of compound events

Adaptive
Worksheet

Interactive practice questions

One cube has $4$4 red faces and $2$2 blue faces, another cube has $3$3 red faces and $3$3 blue faces, and the final cube has $2$2 red faces and $4$4 blue faces. The three cubes are rolled like dice.

a

Which of the following is a probability tree diagram that correctly shows all possible outcomes and probabilities?

A

B

C

D
b

What is the probability that three red faces are rolled?

c

What is the probability that more red faces than blue faces are rolled?

d

What is the probability that only one cube rolls a blue face?

Easy
3min

In a game of monopoly, two dice are rolled.

Easy
< 1min

Every morning Mae has toast for breakfast. Each day she either chooses honey or jam to spread on her toast, with equal chance of choosing either one.

Easy
2min

A standard six-sided die is rolled and then a coin is tossed.

Easy
2min
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Outcomes

7.SP.C.8

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

7.SP.C.8.A

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.

7.SP.C.8.B

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. "Rolling double sixes"), identify the outcomes in the sample space which compose the event.

7.SP.C.8.C

Design and use a simulation to generate frequencies for compound events.

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