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Probability

Medium
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Question 2
63%

The Venn diagram below shows three events AAA, B B\,B and CCC.

Venn diagram for Question 2 showing three sets A, B, and C. Sets A and B overlap on the left, while set C is separate on the right. The regions are labeled as follows: A only: 0.2; B only: q; C only: r; A and B only: p; The region outside all three sets is labeled 0.1.

a.

Write down two of the events that are mutually exclusive.

[1]
b.

The probability of A A\,A is 0.4

The probability of A A\,A or B B\,B is 0.7

Find the values of ppp, q q\,q and rrr.

[3]
c.

State, giving a reason, whether or not the events A A\,A and B B\,B are statistically independent.

[2]

Probability Questions

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