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Conditional Probability

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Question 77

Given that P(A)=0.4,P(B)=0.3andP(A∩B)=0.12P(A) = 0.4, \quad P(B) = 0.3 \quad \text{and} \quad P(A \cap B) = 0.12P(A)=0.4,P(B)=0.3andP(A∩B)=0.12 find

a.

P(A∪B)P(A \cup B)P(A∪B)

[2]
b.

P(B′∣A′)P(B' | A')P(B′∣A′)

[3]
c.

The event CCC has P(C)=0.25P(C) = 0.25P(C)=0.25.

The events AAA and CCC are mutually exclusive and the events BBB and CCC are independent.

Find P(B∩C)P(B \cap C)P(B∩C)

[2]
d.

Describe the configuration of a Venn diagram for events A,B,A, B,A,B, and CCC and state the probabilities for each distinct region.

[4]
e.

Find P((B∪C)′)P((B \cup C)')P((B∪C)′)

[2]

Conditional Probability Questions

  1. A Level
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  3. /Conditional Probability