Let A B be two events such that PA - 0-3 PA - B - 0-8- If A B are independent events then PB-

The correct option is B 5/7As A and B are independent 0.8=P( A∪ B ) =P( A ) +P( B ) P( A ) P( B ) =0.3+P( B ) ( 0.3 ) P( B ) ⇒ 0.5=( 0.7 ) P( ...

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Standard XII

Mathematics

Independent Events

Let A B be ...

Question

Let A & B be two events such that P(A) = 0.3 & P(A $\cup B$ ) = 0.8. If A & B are independent events then P(B)=.........

5/7

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3/7

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4/7

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0.7

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Solution

The correct option is B 5/7
As A and B are independent
$0.8 = P (A \cup B) = P (A) + P (B) - P (A) P (B) = 0.3 + P (B) - (0.3) P (B) \Rightarrow 0.5 = (0.7) P (B) \Rightarrow 7 P (B) = 5$

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Similar questions

Q. Let A and B be two events such that

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Let A & B be two events such that P(A) = 0.3 & P(A ∪ B) = 0.8. If A & B are independent events then P(B)=.........

The correct option is B 5/7As A and B are independent0.8=P(A∪B)=P(A)+P(B)−P(A)P(B)=0.3+P(B)−(0.3)P(B)⇒0.5=(0.7)P(B)⇒7P(B)=5

Let A & B be two events such that P(A) = 0.3 & P(A $\cup B$ ) = 0.8. If A & B are independent events then P(B)=.........

The correct option is B 5/7
As A and B are independent
$0.8 = P (A \cup B) = P (A) + P (B) - P (A) P (B) = 0.3 + P (B) - (0.3) P (B) \Rightarrow 0.5 = (0.7) P (B) \Rightarrow 7 P (B) = 5$