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Conditional Probability & Bayes' Theorem · Question 47 of 125

Question 47

HardOriginal question

A bag has 3 red, 2 blue and 5 green beads. Three are drawn one after the other without replacement. What is the probability of red, then blue, then green, in that order?

Options for question 47

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 310\frac{3}{10} for red, then 29\frac{2}{9} for blue, then 58\frac{5}{8} for green.

  2. 3×2×510×9×8=30720=124\frac{3 \times 2 \times 5}{10 \times 9 \times 8} = \frac{30}{720} = \frac{1}{24}.

Worth noting

14\frac{1}{4} allows the three colours in any of the 6 orders; the question fixes one order.

Concept
Probabilities without replacement
Typical time
120 s
Your time
—
The rule this testsThe multiplication theorem
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.