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Question

A pair of fair dice is tossed. Find the probability that the maximum of the two numbers is greater than 4.

A
59
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B
49
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C
29
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D
None of these
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Solution

The correct option is A 59
Given, Two fair dice have been rolled
No. of selections such that maximum of two dice should be greater than 4.
=(1,5).(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4)(5,5),(5,6)
,(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)=20 cases
Total no.of cases when two dice roles =6×6=36
Required probability =2036=59

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