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A die is relled twice. Find the probability that 5 will come up both the times. Select the correct answer from above options

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Correct Answer - (i)2536(ii)518(ii)136 Number of all possible outcomes = 36. (i) All those cases where 5 comes up on at least one face are (1,5),(2,5),(3,5),(4,5),(5,5),(6,5),(5,1),(5,2),(5,3),(5,4),(5,6). Number of such cases = 11. Number of those cases where 5 will not come up any time = 36-11 = 25. ∴ P(that 5 will not come up either time) = 25/36. (ii) All those case where 5 comes up exactly one time are (1,5),(2,5),(3,5),(4,5),(6,5),(5,1),(5,2),(5,3),(5,4),(5,6). Number of such cases = 10. :. P(that 5 will come up exactly one time) = 10/36 = 5/18. (iii) There is only one case, namely (5,5) when 5 comes up both the times. :. P(that 5 will come up both the times) = 1/36.

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