A basketball player scores with probability 2/3 on each independent shot. Find the probability of exactly 3 scores in 4 shots.
Answer and explanation
Correct answer: D. 32/81
- Step 1: Use the binomial formula P = C(n, k) p^k (1 - p)^(n - k).
- Step 2: P = C(4, 3) x (2/3)^3 x (1/3)^1 = 4 x 8/27 x 1/3 = 32/81.
Answer
32/81.
Why not the others: '8/27' ignores the failures and the number of arrangements; '32/27' forgets the factor (1 - p) for the misses; '8/81' forgets the binomial coefficient.
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