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Conditional Probability & Bayes' Theorem · Question 9 of 125

Given that the student is a girl, what is the probability that she studies Physics?

Question 9

EasyOriginal question

A group of 60 students has 36 girls and 24 boys. Of the girls, 20 study Physics; of the boys, 8 study Physics. One student is picked at random from the group.

Given that the student is a girl, what is the probability that she studies Physics?

Options for question 9

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Given a girl, only the 36 girls count.

  2. 20 of them study Physics: 2036=59\frac{20}{36} = \frac{5}{9}.

Worth noting

13=2060\frac{1}{3} = \frac{20}{60} divides by all 60 students; it is the chance of picking a girl who studies Physics.

Concept
Conditional probability by counting
Typical time
90 s
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The rule this testsConditional probability
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