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Seven white balls and three black ball are randomly placed in a row. The probability that no two black balls are placed adjacently equals?

1/2
7/15
2/15
1/3

Correct Answer: 7/15

Explanation:

n(S) = ¹⁰C₇ = ¹⁰C₃
n(E) = ⁸C₃
∴ P(E) = n(E)/n(S) = 7/15

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