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Conditional Probability & Bayes' Theorem · Question 18 of 125

Question 18

MediumOriginal question

In a class of 40, 25 play cricket, 20 play football and 10 play both. A football player is picked at random. What is the probability that they also play cricket?

Options for question 18

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Given football, only its 20 players count.

  2. 10 of them play cricket: 1020=12\frac{10}{20} = \frac{1}{2}.

Worth noting

25=1025\frac{2}{5} = \frac{10}{25} is the chance that a cricketer plays football, the condition the other way round.

Concept
Conditional probability by counting
Typical time
90 s
Your time
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The rule this testsConditional probability
Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.