Conditional Probability

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Question 54

The events $A\,$ and $B\,$ are such that $P(A)=320\displaystyle P(A) = \frac{3}{20}$ , $P(A∩B)=120\displaystyle P(A \cap B) = \frac{1}{20}$ and $P(A∣B)=514\displaystyle P(A|B) = \frac{5}{14}$ .

a.

Find $P (B)$ .

[3]

b.

Find $\cup B)$ .

[3]

c.

Find $P (B ∣ A^{'})$ .

[3]

Conditional Probability

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Question 54

The events $A\,$ and $B\,$ are such that $P(A)=320\displaystyle P(A) = \frac{3}{20}$ , $P(A∩B)=120\displaystyle P(A \cap B) = \frac{1}{20}$ and $P(A∣B)=514\displaystyle P(A|B) = \frac{5}{14}$ .

a.

Find $P (B)$ .

[3]

b.

Find $\cup B)$ .

[3]

c.

Find $P (B ∣ A^{'})$ .

[3]

Conditional Probability

Question 54

Conditional Probability Questions

Conditional Probability

Question 54

Conditional Probability Questions