Suppose two trials of a random experiment, in which a fair coin is tossed and a fair die is rolled simultaneously, are carried out under the same conditions. What is the probability that the outcome ‘the coin shows a head and the die shows a number divisible by 3’ is observed in at least one trial?
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Probability and Bayes' theorem has come up 190 times in 7 exams since 2004.
This question is on Addition rule, complements and inclusion-exclusion, part of Probability and Bayes' theorem in Statistics.
The probability of at least one of several events, and of none.
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Question from the JNU SSS 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.