We will use Binomial Distribution in this case.
Since the coin is tossed 15 times. N which is the number of trails will be 15.
P = Probability of heads
Q = Probability of tails
X = No. heads occurring in each toss.
So, now we have to find the probability for exactly 10 heads.
P(x = 10) = C(15, 10) P^x Q^N-x
C(15, 10) (1/2)^10 (1/2)^5 = 0.0916
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439.612, 439.261, 439.216, 439.126
hope this helps :)