Skip to content

Course home

Sign up

2.2 Conditional Probability

EasyMediumHard
12
Question 2

In a fitness club with 150 members, participants are classified as Swimmers, Runners, or Cyclists. The following table shows the number of members in each category and whether they follow a specific Diet plan or Not.

The events SSS, RRR, and C C\,C are that a member is a Swimmer, Runner, or Cyclist respectively. Let D D\,D be the event that a member follows a diet plan.

A member is selected at random. Find:

a.

P(R)P(R)P(R)

[2]
b.

P((S∩D)′)P((S \cap D)')P((S∩D)′)

[2]
c.

P(D∣C)P(D | C)P(D∣C)

[2]
d.

Let Y Y\,Y be the event that a member practices Yoga. Given that 20% of Swimmers practice Yoga, 10% of Runners practice Yoga, and 15% of Cyclists practice Yoga,

describe the structure of a Venn diagram to represent the events S,R,C S, R, C\,S,R,C and YYY.

[2]
e.

find the probability that a randomly selected member practices Yoga.

[3]
Markscheme

2.2 Conditional Probability Questions

  1. A Level
  2. /Maths
  3. /2.2 Conditional Probability

58 exam-style questions on Edexcel A Level Maths 2.2 Conditional Probability. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank