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Q.

An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of getting an odd number for odd number of times is:

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a

132

b

316

c

12

d

516

answer is C.

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Detailed Solution

The probability of getting odd number twice is equal to the probability of getting even number thrice in n throwsC(n,2)×12n=C(n,3)12nC(n,2)=C(n,3)n=5 Success is getting an odd number then P(odd number of sucesses)=P(1)+P(3)+P(5) =5+10+1125 =12

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An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of getting an odd number for odd number of times is: