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2.3 Probability

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Question 53

The events R R\,R and S S\,S are such that P(R)=0.1P(R) = 0.1P(R)=0.1 and P(R∪S)=0.55P(R \cup S) = 0.55P(R∪S)=0.55.

a.

Find P(R′∩S′)P(R' \cap S')P(R′∩S′).

[2]
b.

Find P(R′∩S)P(R' \cap S)P(R′∩S).

[2]
c.

Given also that the events R R\,R and S S\,S are independent, find P(S)P(S)P(S).

[4]
d.

Find P(R′∪S′)P(R' \cup S')P(R′∪S′).

[2]

2.3 Probability Questions

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