Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths OCR
  5. Question bank

2.3.3 Conditional probability (A-level only)

MediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091929394959697
Question 19

The events C C\,C and D D\,D are such that P(C)=25\displaystyle P(C) = \frac{2}{5}P(C)=52​, P(D)=34\displaystyle P(D) = \frac{3}{4}P(D)=43​ and P(C∣D)=13\displaystyle P(C|D) = \frac{1}{3}P(C∣D)=31​.

a.

Find P(C∩D)P(C \cap D)P(C∩D).

[2]
b.

Find P(D′∣C)P(D'|C)P(D′∣C).

[3]
c.

Find P(C′∪D)P(C' \cup D)P(C′∪D).

[2]
d.

Determine whether the events C C\,C and D D\,D are independent, give a reason for your answer.

[3]

2.3.3 Conditional probability (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.3.3 Conditional probability (A-level only)