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A fair coin is tossed 99 times. If X is ...

A fair coin is tossed 99 times. If X is the number of times heads occur, then `P(X=r)` is maximum when `r` is `49 , 50` b. `50 , 51` c. `51 , 52` d. none of these

A

49

B

52

C

51

D

50

Text Solution

Verified by Experts

The correct Answer is:
A, D
The probability that head appears r times is
`""^(99)C_(r)((1)/(2))^(r)((1)/(2))^(99-r)`
which is maximum when r = 49 or 50.
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