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Conditional Probabilities in Venn Diagrams

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Question 31

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]

Conditional Probabilities in Venn Diagrams Questions

  1. A Level
  2. /Maths
  3. /Conditional Probabilities in Venn Diagrams

Practise Edexcel A Level Maths Conditional Probabilities in Venn Diagrams with exam-style questions for A Level Maths. 32 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank