Quelpr
4 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2008 · Paper 2 · Question 3(a)(iv)

A two-way contingency table classifies 650 surveyed individuals by sex and preferred radio station (A, B, C, or D).

Find the probability that a randomly selected person prefers station D, given that the person is a male.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 3(a)(i)Find the probability that a randomly selected person does NOT prefer radio station A.[3 marks]
  2. 3(a)(ii)Find the probability that a randomly selected person is a female OR prefers radio station B.[3 marks]
  3. 3(a)(iii)Find the probability that a randomly selected person is a male AND prefers radio station C.[3 marks]
  4. 3(b)(i)Calculate the probability that the first person selected is a female.[2 marks]
  5. 3(b)(ii)Calculate the probability that each person selected is of a different sex.[5 marks]
  6. 3(b)(iii)Calculate the probability that both persons selected prefer the same radio station.[5 marks]

More practice: the rest of this paper · more Probability Theory questions · all CAPE Applied Mathematics Unit 1 past papers