MHT CET 2023 Mathematics question

MathematicsProbabilityMHT CET 2023

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

Answer: (A)

Solution

Total ways to choose 4 of 14 numbers: . The product is negative when an odd number of the chosen numbers are negative, i.e. 1 or 3 negatives. One negative and three positives: . Three negatives and one positive: . Favourable

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Question ID VK-098245