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If Events a and B Are Independent, Such that P ( a ) = 3 5 , P ( B ) = 2 3 'Find P(A ∪ B).B - Mathematics

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प्रश्न

If events A and B are independent, such that `P(A)= 3/5`,  `P(B)=2/3` 'find P(A ∪ B).

बेरीज

उत्तर

P(A ∪ B) = P(A) + P(B) - P(A∩ B)
But A and B are independent 
`P(A ∪ B) = P(A)+P(B)- P(A)xxP(B)`

= `3/5 + 2/3 - 3/5xx2/5`

=  `(9 + 10)/15 - 6/15`

= `13/15`

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