मराठी

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ______. - Mathematics

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प्रश्न

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ______.

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उत्तर

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is 0.2.

Explanation:

Given that: P(A) = 0.5, P(B) = 0.3

And P(A ∩ B) = 0   .....[∵ A and B are mutually exclusive events]

∴ `P(barA ∩ barB) = P(bar(A ∪ B))`

= 1 – P(A ∪ B)

= 1 – [P(A) + P(B)]

= 1 – (0.5 + 0.3)

= 1 – 0.8

= 0.2

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पाठ 16: Probability - Exercise [पृष्ठ ३०१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 16 Probability
Exercise | Q 41 | पृष्ठ ३०१
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