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Solve the following: Let A and B be independent events with P(A) = 14, and P(A ∪ B) = 2P(B) – P(A). Find P(AB)

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प्रश्न

Solve the following:

Let A and B be independent events with P(A) = `1/4`, and P(A ∪ B) = 2P(B) – P(A). Find `"P"("A"/"B")`

योग
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उत्तर

It is given that, P(A) = `1/4` and

P(A U B) = 2P(B) – P(A) 

= `2"P"("B") - 1/4`

`"P"("A"/"B") ` = P(A)  ...[∵ A, B are independent]

= `1/4`

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अध्याय 9: Probability - Miscellaneous Exercise 9 [पृष्ठ २१४]

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बालभारती Mathematics and Statistics (Arts and Science) Part 1 [English] Standard 11 Maharashtra State Board
अध्याय 9 Probability
Miscellaneous Exercise 9 | Q II. (12) (b) | पृष्ठ २१४

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