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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

P(odd no. twice) = P(even no. thrice)⇒  nC212n= nC312n⇒n=5success is getting an odd number then P(odd successes) = P(1) + P(3) + P(5)=  5C1125+ 5C3125+5C5125=1625=12
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