Question

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

Answer 1

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)