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MHT CET202314 May 2023Evening ShiftMathematicsProbabilityActual

There are 6 positive and 8 negative numbers. From these four numbers are chosen at random and multiplied. Then the probability, that the product is a negative number, is

Options

  1. A496 1001
  2. B505 1001
  3. C490 1001
  4. D504 1001

Correct answer

A. 496 1001

Step-by-step solution

Total number of numbers =8+6=14 4 numbers can be chosen out of 14 numbers in ¹⁴ C ₄ ways The product of 4 numbers will be negative, if i. one is negative and three are positive OR ii. three are negative and one is positive. aligned Required probability & = ( ^8 C ₁ ^6 C ₃ )+ ( ^8 C ₃ ^6 C ₁ ) ¹⁴ C ₄ & = (8 20)+(56 6) 1001 & = 160+336 1001 = 496 1001 aligned

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