A fair coin is tossed 2n times.
(a) Obtain the probability that there will be an equal number of heads and tails.
(b) Show that the probability computed in (a) is a decreasing function of n
a)
Number of heads = number of tails
since coin is tossed 2n times
head occurs n times
probability that there will be an equal number of heads and tails =
b)
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