Introduction to probability
If the probability that the product of the outcomes of three rolls of a fair dice is a prime number is p, then the value of 1/(4p) is _______.
Total number of cases n(S) = 63 = 216
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 the number of cases is 3.
Similarly, 3 cases for 3, 1, 1 and 5, 1, 1 each
Hence, favorable cases = 9.
Hence, required probability
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Similar Questions
A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.
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