Theorems of probability
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80k UsersIf the probability that the product of the outcomes of three rolls of a fair dice is a prime number p then the value of 3p is
Product is prime only when two outcomes are 1 and the third is prime i.e. 2,3,,5.
If it is 2, 1, 1 then number of cases are 3
Similarly 3 cases, for 3, 1, 1 and 5, 1, 1 each
Hence favorable cases = 9
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The odd against an event are 5 to 2 and the odds in favour of another disjoint event are 3 to 5. Then the probability that atleast one of the events will happen is
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