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Conditional Probability & Bayes' Theorem · Question 84 of 125

Question 84

MediumOriginal question

At a school, 35% of the students live in the hostel and 65% are day scholars. 40% of hostel students and 20% of day scholars score an A. What is the probability that a student picked at random scores an A?

Options for question 84

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. 0.35×0.4+0.65×0.20.35 \times 0.4 + 0.65 \times 0.2.

  2. 0.14+0.13=0.270.14 + 0.13 = 0.27.

Worth noting

0.3 averages 40% and 20% as if the two groups were the same size.

Concept
The theorem of total probability
Typical time
90 s
Your time
—
The rule this testsThe theorem of total 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.