RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 33. Binomial Distribution

Subject: Maths - Class 12th

Q. No. 9 of MCQ

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Mark the correct alternative in the following:

One hundred identical coins, each with probability p of showing heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, the value of p is




P(x=r)= nCr pr qn-r

P(x=50)= 100C50 p50 q50


P(x=51)= 100C51 p51 q49


Equate both equations;

51-51p = 50 p

101 p = 51


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