A basketball player scores with probability 1/5 on each independent shot. Find the probability of exactly 2 scores in 3 shots.

Answer and explanation

Correct answer: A. 12/125

  1. Step 1: Use the binomial formula P = C(n, k) p^k (1 - p)^(n - k).
  2. Step 2: P = C(3, 2) x (1/5)^2 x (4/5)^1 = 3 x 1/25 x 4/5 = 12/125.
Answer
12/125.
Why not the others: '1/25' ignores the failures and the number of arrangements; '3/25' forgets the factor (1 - p) for the misses; '4/125' forgets the binomial coefficient.

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