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Questions › DSE › DSE 2006 › Q46
2 marksStatistics › Probability and Bayes' theorem › Total probability and Bayes' theoremHardabout 3 min

DSE 2006 Question 46: Probability and Bayes' theorem

Amit has a box containing 666 red balls and 333 green balls. Amita has a box containing 444 red balls and 555 green balls. Amit randomly draws one ball from his box and puts it into Amita's box. Now Amita randomly draws one ball out of her box. What is the probability that the balls drawn by Amit and Amita were of different colours?

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Amit has a box containing 6 red balls and 3 green balls. Amita has a box containing 4 red balls and 5 green balls. Amit randomly draws one ball from his box and puts it into Amita's box. Now Amita randomly draws one ball out of her box. What is the probability that the balls drawn by Amit and Amita were of different colours? (A) 1/3 (B) 2/15 (C) 4/15 (D) 7/15

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

What this question tests

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

Reversing a conditional probability and updating beliefs from evidence.

TestStop has 22 past-paper questions on this subtopic.

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Question from the DSE 2006 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.