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Three persons hit a target with probabil...

Three persons hit a target with probability `1/2,1/3` and `1/4` respectively. If each one shoot at the target once,
find the probability that exactly one of them hits the target

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The correct Answer is:
`11/24`
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Three persons hit a target with probabilities (1/2) , (1/3) and (1/4) respectively. If each one shoots at the target once, (i) find the probaility that exactly one of them hits the target, (ii) if only one of them hits the target what is the probability that it was the first person?

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ARIHANT PUBLICATION-PROBABILITY-ODISHA BUREAU.S TEXT BOOK SOLUTIONS (EXERCISE 6(A))
  1. If P (A) = 0.4,P (B | A)= 0.3 and P (B^c | A^c)=0.2. find P (A | B )

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  2. If P(A)= 0.4, P(B/A)=0.3 and P(B^(c )//A^(c )) = 0.2 find P(B//A^(c...

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  3. If P(A) = 0.4, P(B//A) = 0.3 and P(B^(c)/A^(c)) = 0.2. Find P(B).

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  4. If P(A)= 0.4, find P(A^(c ))

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  5. If P(A) = 0.4, P(B/A)=0.3 and P(B^(c )//A^(c )) = 0.2 find P(A cupB...

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  6. If P(A)=0.6, P(B | A)= 0.5, find P (A cup B) if A, B are independent.

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  7. Two cards are drawn in succession from a deck of 52 cards. What is the...

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  8. From a bag containing 5 black and 7 white balls, 3 balls are drawn in ...

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  9. From a bag containing 5 black and 7 white balls, 3 balls are drawn in ...

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  10. A die is rolled until a 6 is obtained. What is the probability that ...

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  11. A die is rolled until a 6 is obtained. What is the probability that ...

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  12. A person takes 3 tests in succession. The probability of his (her) pas...

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  13. A person takes 4 tests in succession. The probability of his passing t...

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  14. A person takes 4 tests in succession. The probability of his passing t...

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  15. Given that all three faces are different in a throw of three dice, fin...

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  16. Given that all three faces are different in a throw of three dice, fin...

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  17. From the set of all families having three children, a family is picked...

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  18. From the set of all families having three children, a family is picked...

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  19. Three persons hit a target with probability 1/2,1/3 and 1/4 respective...

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  20. Three persons hit a target with probability 1/2,1/3 and 1/4 respective...

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