Skip to content

Course home

Sign up

2.3.3 Conditional probability (A-level only)

EasyMediumHard
1234567891011121314151617181920212223
Question 23

A survey of 50 students was conducted to see if they played Football, Basketball, or Tennis.

  • No student played both Football and Tennis
  • 4 students played both Football and Basketball
  • 15 students played Football
  • 18 students played Basketball
  • 14 students played Tennis
  • 12 students did not play any of these sports

A student from this survey is chosen at random.

FFF represents the event that the student plays Football BBB represents the event that the student plays Basketball TTT represents the event that the student plays Tennis

a.

Draw a Venn diagram to illustrate this information.

[3]
b.

State, giving a reason, a pair of mutually exclusive events from F,BF, BF,B and TTT.

[2]
c.

Find the probability that the student plays exactly 2 of these sports.

[2]
d.

Showing your working clearly, determine whether or not the events FFF and BBB are independent.

[2]
e.

Given that a student plays Basketball, find the probability that they also play Tennis.

[2]
f.

Find the exact value of P([F∪T]∣B′)P([F \cup T]|B')P([F∪T]∣B′).

[3]
Markscheme

2.3.3 Conditional probability (A-level only) Questions

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

116 exam-style questions on OCR A Level Maths 2.3.3 Conditional probability (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank