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Conditional Probability & Bayes' Theorem · Question 31 of 125

Question 31

EasyOriginal question

In a class, 40% of the students take Mathematics, and 25% of those also take Biology. What is the probability that a student picked at random takes both?

Options for question 31

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. P(M)=0.4P(M) = 0.4 and P(B∣M)=0.25P(B \mid M) = 0.25.

  2. P(M∩B)=0.4×0.25=0.1P(M \cap B) = 0.4 \times 0.25 = 0.1.

Worth noting

0.15 subtracts, 0.4−0.250.4 - 0.25; "25% of those" means a fraction of the 40%.

Concept
The multiplication theorem
Typical time
60 s
Your time
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The rule this testsThe multiplication theorem
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