4.1.2 Probability (A-level only)

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Question 27

The events $A\,$ and $B\,$ are such that $P(A)=49\displaystyle P(A) = \frac{4}{9}$ , $P(B)=13\displaystyle P(B) = \frac{1}{3}$ and $P(A∣B)=12\displaystyle P(A|B) = \frac{1}{2}$ . Find

a.

$\cap B)$

[2]

b.

$P (B^{'} ∣ A)$

[3]

c.

$\cup B)$

[2]

d.

Determine whether the events $A\,$ and $B\,$ are independent, give a reason for your answer.

[3]

4.1.2 Probability (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33

Question 27

The events $A\,$ and $B\,$ are such that $P(A)=49\displaystyle P(A) = \frac{4}{9}$ , $P(B)=13\displaystyle P(B) = \frac{1}{3}$ and $P(A∣B)=12\displaystyle P(A|B) = \frac{1}{2}$ . Find

a.

$\cap B)$

[2]

b.

$P (B^{'} ∣ A)$

[3]

c.

$\cup B)$

[2]

d.

Determine whether the events $A\,$ and $B\,$ are independent, give a reason for your answer.

[3]

4.1.2 Probability (A-level only)

Question 27

4.1.2 Probability (A-level only) Questions

4.1.2 Probability (A-level only)

Question 27

4.1.2 Probability (A-level only) Questions