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Questions › DSE › DSE 2004 › Q28
2 marks, −1Statistics › Probability and Bayes' theorem › Geometric probability and probability paradoxesHardabout 3 min

DSE 2004 Question 28: Probability and Bayes' theorem

There are three identical boxes, each with two drawers. Box AAA contains a gold coin in each drawer. Box BBB contains a silver coin in each drawer. Box CCC contains a gold coin in one drawer and a silver coin in another drawer. A box is chosen, a drawer opened and a gold coin is found. What is the probability that the chosen box is AAA?

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Plain-text version

There are three identical boxes, each with two drawers. Box A contains a gold coin in each drawer. Box B contains a silver coin in each drawer. Box C contains a gold coin in one drawer and a silver coin in another drawer. A box is chosen, a drawer opened and a gold coin is found. What is the probability that the chosen box is A? (A) 2/3 (B) 1/2 (C) 1/3 (D) 3/4

Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.

What this question tests

This question is on Geometric probability and probability paradoxes, part of Probability and Bayes' theorem in Statistics.

Probabilities defined by length or area, and cases where intuition fails.

TestStop has 5 past-paper questions on this subtopic.

Practise Probability and Bayes' theoremMore on Geometric probability and probability paradoxes

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Question from the DSE 2004 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.