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Australia
Year 10

8.03 Tree diagrams

Interactive practice questions

On the island of Timbuktoo the probability that a set of traffic lights shows red, yellow or green is equally likely. Christa is travelling down a road where there are two sets of traffic lights.

What is the probability that both sets of traffic lights will be red?

Easy
< 1 min

Three fair coins are tossed.

Easy
1 min

A bucket contains $5$5 green buttons and $7$7 purple buttons. Two buttons are drawn in succession from the bucket. The first button is replaced before the second button is drawn.

Easy
3 min

Han plays three tennis matches. In each match he has $60%$60% chance of winning:

Medium
5 min
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Outcomes

ACMSP246

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence

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