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Probability · Question 49 of 70

Question 49

MediumOriginal question

3 students are chosen at random from 5 boys and 4 girls. What is the probability that all 3 are girls?

Options for question 49

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Total ways: 9C3=84{}^{9}C_3 = 84. All girls: 4C3=4{}^{4}C_3 = 4.

  2. 484=121\frac{4}{84} = \frac{1}{21}.

Worth noting

49\frac{4}{9} is the chance that one chosen student is a girl.

Concept
Probability by counting combinations
Typical time
90 s
Your time
—
The rule this testsEqually likely outcomes
Practise this chapter →

Ten questions from Probability, at your own pace.

Practise this chapter →

Ten questions from Probability, at your own pace.