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The Probabilities of Happening of Two Events a and B Are 0.25 and 0.50 Respectively. If the Probability of Happening of a and B Together is 0.14, Then Probability that Neither a Nor B Happens is - Mathematics

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प्रश्न

The probabilities of happening of two events A and B are 0.25 and 0.50 respectively. If the probability of happening of A and B together is 0.14, then probability that neither Anor B happens is

विकल्प

  •  0.39

  •  0.25

  •  0.11

  •  none of these

     
MCQ

उत्तर

 0.39
Given:
P(A) = 0.25, P(B) = 0.50 and P(A \[\cap\]B) = 0.14
∴ Required probability = 1 - P(A∪B)
                                    = 1  -  [P(A) + P(B) - P(A \[\cap\]B)]
                                    = 1 -  [0.25 + 0.50  - 0.14]
                                    = 1 - 0.61 = 0.39

 

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अध्याय 33: Probability - Exercise 33.6 [पृष्ठ ७१]

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आरडी शर्मा Mathematics [English] Class 11
अध्याय 33 Probability
Exercise 33.6 | Q 10 | पृष्ठ ७१

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