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If A, B and C are three independent events such that P(A) = P(B) = P(C) = p, then P(At least two of A, B, C occur) = 3p2 – 2p3 - Mathematics

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प्रश्न

If A, B and C are three independent events such that P(A) = P(B) = P(C) = p, then P(At least two of A, B, C occur) = 3p2 – 2p3 

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Explanation:

Since P(atleast two of A, B and C occur)

= p × p × (1 – p) + (1 – p) . p . p + p(1 – p).p + p . p . p

= 3p2(1 – p) + p3

= 3p2 – 3p3 + p3

= 3p2 – 2p3

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अध्याय 13: Probability - Exercise [पृष्ठ २८६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 13 Probability
Exercise | Q 103 | पृष्ठ २८६

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