MHT CET 2026 Mathematics question

Mathematics Probability MHT CET 2026

It is known that a box of 8 batteries contains 3 defective pieces and a person randomly selects 2 batteries from this box. Then the probability distribution of the number of defective batteries is

(A)X = x: 0, 1, 2; P(X = x): , , Correct
(B)X = x: 1, 2, 3; P(X = x): , ,
(C)X = x: 0, 1, 2; P(X = x): , ,
(D)X = x: 1, 2, 3; P(X = x): , ,

Answer: (A)

Solution

Two batteries can contain , or defective ones (at most 2 are drawn), so and options (B), (D) are wrong. The total number of selections is . (both from the 5 good ones),

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Question ID VK-097653