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If A and B are events such that P(A)=0.4...

If A and B are events such that P(A)=0.4,P(B)=0.3and`P(AcupB)=0.5` then `P(B'capA)` equals to

A

`2/3`

B

`1/2`

C

`3/10`

D

`1/5`

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AI Generated Solution

To solve the problem, we need to find \( P(B' \cap A) \), where \( B' \) is the complement of event \( B \). We are given the following probabilities: - \( P(A) = 0.4 \) - \( P(B) = 0.3 \) - \( P(A \cup B) = 0.5 \) ### Step 1: Use the formula for the union of two events The formula for the probability of the union of two events is given by: ...
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NCERT EXEMPLAR-PROBABILITY-Probability
  1. If P(A)=0.4,P(B)=0.8 and P(B/A)=0.6, then P(AcupB) is equal to

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  2. If A and B are two events and Anephi,Bnephi , then

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  3. If A and B are events such that P(A)=0.4,P(B)=0.3andP(AcupB)=0.5 then ...

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  4. If A and B are two events such that P(B)=3/5,P(A//B)=1/2 and P(AcupB)=...

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  5. In question 64 (above),P(B/A') is equal to

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  6. If P(B)=3/5,P(A//B)=1/2andP(AcupB)=4/5, then P(AcupB)'+P(A'cupB) is eq...

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  7. If P(A)=7/13,P(B)=9/13and P(AcapB)=4/13, then P(A'/B) is equal to

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  8. If A and B are suchg that events that P(A)gt0andP(B)ne1, then P(A'//B'...

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  9. If A and B are two events with with P(A)=3/5 and P(B)=4/9, then P(A'ca...

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  10. If two events are independent, then

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  11. If A and B be two events such that P(A)=3/8,P(B)=5/8 and P(AcupB)=3/4 ...

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  12. If the events A and B are independent, then P(AcapB) is equal to

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  13. Two events E and F are independent. If P(E )=0.3 and P(EcupF)=0.5 then...

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  14. A abg contains 5 red and blue balls. If 3 balls are drawn at random wi...

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  15. A bag containing 5 red and 3 blue balls. If 3 balls are drawn at rando...

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  16. Three persons A,B and C, fire at a target in turn, starting with A. Th...

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  17. Assume that in a family, each child is equally likely to be a boy or g...

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  18. If a die is thrown and a card is selected at random from a deck of pla...

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  19. A box contains 3 orange balls, 3 green balls and 2 blue balls. Three b...

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  20. A flashlight has 8 batteries out of which 3 are dead. If two batteries...

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