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Grade 8

6.05 Independent and dependent events

Interactive practice questions

A standard six-sided die is rolled $691$691 times.

a

If it lands on a six $108$108 times, what is the probability that the next roll will land on a six?

b

Is the outcome of the next roll independent of or dependent on the outcomes of previous rolls?

Dependent

A

Independent

B
Easy
< 1min

Two events $A$A and $B$B are such that $P\left(A\cap B\right)=0.3$P(AB)=0.3 and $P\left(A\right)=0.5$P(A)=0.5.

Calculate $P\left(B\right)$P(B) if events $A$A and $B$B are independent.

Medium
1min

Consider the following probability Venn diagram showing the probabilities of each area:

Medium
1min

Suppose $P\left(A\right)=0.2$P(A)=0.2 and $P\left(B\right)=0.3$P(B)=0.3.

Medium
2min
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Outcomes

8.D2.1

Solve various problems that involve probability, using appropriate tools and strategies, including Venn and tree diagrams.

8.D2.2

Determine and compare the theoretical and experimental probabilities of multiple independent events happening and of multiple dependent events happening.

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