100 identical coins each with probability P of showing up 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, then value of P is:

a) 1/21

b) 49/101

c) 50/101

d) 51/101

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100 identical coins each with probability P of showing up 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, then value of P is: a) 1/21 b) 49/101 c) 50/101 d) 51/101