Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths OCR (MEI)
  5. Question bank

2.3.10 Conditional probabilities (A-level only)

MediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899
Question 27

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]

2.3.10 Conditional probabilities (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.3.10 Conditional probabilities (A-level only)