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Questions › DSE › DSE 2006 › Q28
2 marksStatistics › Probability and Bayes' theorem › Conditional probability and the multiplication ruleModerateabout 2 min

DSE 2006 Question 28: Probability and Bayes' theorem

ICICI Bank collects data on 100001000010000 respondents. Out of the 680068006800 men, 420042004200 have credit cards, and out of the 320032003200 women, 250025002500 have credit cards. Out of the men with credit cards, 120012001200 have unpaid balances, whereas out of the women with credit cards, 140014001400 have unpaid balances. What is the probability that an individual selected at random is a man without an unpaid balance?

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Plain-text version

ICICI Bank collects data on 10000 respondents. Out of the 6800 men, 4200 have credit cards, and out of the 3200 women, 2500 have credit cards. Out of the men with credit cards, 1200 have unpaid balances, whereas out of the women with credit cards, 1400 have unpaid balances. What is the probability that an individual selected at random is a man without an unpaid balance? (A) 0.68 (B) 0.56 (C) 0.12 (D) 0.84

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

What this question tests

This question is on Conditional probability and the multiplication rule, part of Probability and Bayes' theorem in Statistics.

Probabilities that change when you know something has happened.

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