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If A, B, C are any three events such tha...

If A, B, C are any three events such that probability of B is twice as that of probability of A and probability of C is thrice as that of probability of A and if `P(A cap B)=(1)/(6), P(B cap C)=(1)/(4), P(A cap C)=(1)/(8), P(A cup B cup C)=(9)/(10),P(A cap B cap C)=(1)/(15)`, then find P(A), P(B) and P(C ) ?

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The correct Answer is:
`11/48`
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PREMIERS PUBLISHERS-STATISTICS AND PROBABILITY -SOLUTION TO EXERCISE 8.4
  1. If P(A)=(2)/(3),P(B)=(2)/(5),P(AcupB)=(1)/(3) then find P(AcapB)

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  2. A and B are two events such that, P(A)=0.42, P(B)=0.48, and P(A cap B)...

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  3. A and B are two events such that, P(A)=0.42, P(B)=0.48, and P(A cap B)...

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  4. A and B are two events such that, P(A)=0.42, P(B)=0.48, and P(A cap B)...

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  5. If A and B are two mutually exelusive events of a random experiment an...

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  6. The probability that atleast one of A and B occur is 0.6. If A and B o...

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  7. The probability of happening of an event A is 0.5 and that of B is 0.3...

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  8. Two dice are rolled once. Find the probability of getting an even numb...

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  9. From a well-shuffied pack of 52 cards, a card is drawn at random. Find...

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  10. A box contains cards numbered 3,5,7,9,..35,37. A card is drawn at rand...

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  11. Three unbiased coins are tossed once. Find the probability of getting ...

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  12. The probability that a person will get an electrification contract is ...

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  13. In a town of 8000 people, 1300 are over 50 years and 3000 are females....

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  14. A coin is tossed thrice. Find the probability of getting exactly two h...

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  15. If A, B, C are any three events such that probability of B is twice as...

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  16. If A, B, C are any three events such that probability of B is twice as...

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  17. If A, B, C are any three events such that probability of B is twice as...

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  18. In a class of 35, students are numbered from 1 to 35. The ratio of boy...

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