The probability of getting two heads and two tails from four tosses of the same coin is __________.
Official Answer Key:
0.37 to 0.38
Step-by-Step Solution & Explanation
• Number of heads in 4 tosses of a fair coin follows a Binomial distribution: P(X=k) = C(n,k) p^k (1-p)^(n-k), with n = 4, p = 0.5.
• P(X=2) = C(4,2) (0.5)²(0.5)² = 6 × 0.0625 = 0.375.
• This lies inside the accepted range 0.37–0.38.
• Final Answer: 0.375
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