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There are 6 positive numbers and 8 negative numbers. Three numbers are chosen from them at random and multiplied. The probability that the product is a negative number is

Options

  1. A11 34
  2. B17 33
  3. C16 35
  4. D11 35

Correct answer

D. 11 35

Step-by-step solution

Total number of ways = 14 C 3 If three numbers are multiplied and the product is a negative number then it should be either 3 negative numbers or 2 positive and 1 negative number Total favourbale number of ways = 8 C 3 + 6 C 2 8 C 1 Hence, required probability = 8 C 3 + 6 C 2 8 C 1 14 C 3 = 56 + 120 364 = 44 91

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