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GUJCET · Maths · Probability
If fair coin is tossed five times then, probability of getting exactly three head is _________ .
- A \(\frac{5}{32}\)
- B \(\frac{5}{16}\)
- C \(\frac{1}{32}\)
- D \(\frac{3}{32}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{16}\)
Step-by-step Solution
Detailed explanation
\(P(X=k) = C(n, k) p^k (1-p)^{n-k}\) \(P(X=3) = C(5, 3) (\frac{1}{2})^3 (\frac{1}{2})^{5-3}\)
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