The events A A\,A and B B\,B are such that P(A)=0.45P(A) = 0.45P(A)=0.45, P(B∣A)=13P(B \mid A) = \dfrac{1}{3}P(B∣A)=31 and P(A∣B)=0.3P(A \mid B) = 0.3P(A∣B)=0.3.
a.
Find P(A∩B)P(A \cap B)P(A∩B).
[2]
b.
Find P(B)P(B)P(B).
[2]
c.
Find P(A′∣B′)P(A' \mid B')P(A′∣B′).
[3]
Markscheme
4 Unit A2 2: Applied Mathematics (A-level only) Questions