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Conditional Probability

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Question 40

The events X X\,X and Y Y\,Y are such that P(X)=0.6P(X) = 0.6P(X)=0.6, P(Y)=0.4P(Y) = 0.4P(Y)=0.4, and P(X∩Y)=0.25P(X \cap Y) = 0.25P(X∩Y)=0.25.

a.

Find P(X∪Y)P(X \cup Y)P(X∪Y).

[2]
b.

Find P(X∣Y)P(X|Y)P(X∣Y).

[3]
c.

Find P(X′∣Y′)P(X'|Y')P(X′∣Y′).

[3]

Conditional Probability Questions

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