One-hundred identical coins, each with probability, \( p \), of showing up heads are tossed once...

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One-hundred identical coins, each with probability, \( p \), of showing up heads are tossed once. If \( 0p1 \) and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of \( p \) is
(A) \( 1 / 2 \)
(B) 49/101
(C) \( 50 / 101 \)
(D) \( 51 / 101 \)
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