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Given that the events A and B are such t...

Given that the events A and B are such that `P(A)=(1)/(2)," and "P(A cupB)=(3)/(5)P(B)=P`. Find P if they are independent.

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The correct Answer is:
`rArr (3)/(5) = (1)/(2) + p rArr (3)/(5) - (1)/(2) = (2p-p)/(2) rArr (p)/(2) = (6-5)/(10 rArr p = (2)/(10) =(1)/(5)`
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SUBHASH PUBLICATION-PROBABILITY-Two marks questions with answers
  1. Let E and F events with P(E) = (3)/(5), P(F) = (3)/(10) and P(Ecap F) ...

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  2. Given that the event A and B are such that P(A) = 1//2, P (Acup B) = ...

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  3. Given that the events A and B are such that P(A)=(1)/(2)," and "P(A cu...

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  4. Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, ...

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  5. Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, ...

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  6. Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, ...

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  7. Let A and B be independent events with P(A) = 0 . 3 and P(B) = 0 . 4, ...

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  8. If E and F are two evetns such that P(E) = (1)/(4) , P(F) =(1)/(2) an...

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  9. Events A and B are such that P(A) = (1)/(2) , P (B) = (7)/(12) P (no...

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  10. Given two independent events A and B such that P(A) = 0 . 3, P (B) = 0...

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  11. Given two independent events A and B such that P(A) = 0 . 3, P (B) = 0...

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  12. Given two independent events A and B such that P(A) = 0 . 3, P (B) = 0...

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  13. Given two independent events A and B such that P(A) = 0 . 3, P (B) = 0...

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  14. A die is tossed thrice. Find the probability of getting an odd number ...

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  15. An urncontains 5 red and 2 black balls. Two balls are randomly selecte...

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  16. A coin is biased so that the head is 3 times as likely to occuras tail...

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  17. Two cards are drawn successfully with replacement from a well- shuffle...

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  18. A family has two children. What is the probability that both the child...

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  19. A fair die is rolled . Consider events E = {1, 3, 5} F = {2, 3} and G ...

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  20. A fair die is rolled . Consider events E = {1, 3, 5} F = {2, 3} and G ...

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