Statement 1: a fair coin tossed 15 times...

Statement 1: a fair coin tossed 15 times, then the probability of getting head as many times in the first ten throws as in the last five is 3003/32768. Statement 2: Sum of the series `^m C_r^n C_0+^m C_(r-1)^n C_1++^m C_0^n C_r=^(m+n)C_r` .

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