A student randomly guesses the answers to a 10-question True/False test. The probability of getting exactly 5 correct answers is:
A student randomly guesses the answers to a 10-question True/False test. The probability of getting exactly 5 correct answers is:
- A. 1/2
- B. 63/256
- C. 1/10
- D. 5/1024
Answer: B) 63/256
Explanation: n=10, p=1/2, q=1/2, r=5. P(X=5) = ¹⁰C₅ (1/2)⁵ (1/2)⁵ = 252 × (1/1024) = 63/256.
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