How do you calculate the probability of flipping a coin 10 times and getting exactly 6 heads and 4 tails using the binomial distribution formula?
Answer 1
To calculate the probability of getting exactly 6 heads and 4 tails in 10 coin flips, use the binomial distribution formula: P(X=k) = (n choose k) * p^k * (1-p)^(n-k). Here, n=10, k=6, and p=0.5. Therefore, P(X=6) = 210 * (0.5)^6 * (0.5)^4 = 0.2051.
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