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A fair coin is tossed 99 times. Let X be...

A fair coin is tossed 99 times. Let X be the number of times head occurs. The P(X=r) maximum when r is

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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