Home
Class 12
MATHS
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,
if only one of them hits the target what is the probability that it was the first person ?

Text Solution

Verified by Experts

The correct Answer is:
`6/11`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXT BOOK SOLUTIONS(EXERCISE 6(B))|11 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXT BOOK SOLUTIONS (EXERCISE 6(C ))|8 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise PART V QUESTION FOR PRACTICE (LONG ANSWER TYPE QUESTIONS )|4 Videos

  • MATRICES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Very Short Answer Type Questions) |56 Videos

  • QUESTION PAPER 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos

Similar Questions

Explore conceptually related problems

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

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?

Two different digits are selected at random from the digits 1 through 9 If 3 is one of the digits selected, what is the probability that the sum is even?

Two different digits are selected at random from the digits 1 through 9 If 3 is one of the digits selected, what is the probability that the sum is odd?

A laboratory blood test is 99% effective in detecting a certain disease,when it is infact present. However, the test also yields a false positive result for 0.5% of the healthy person tested (ie. if a healthy person is tested, then with probability 0.005, the test will imply he has the disease). If 0.1% of the population actually has the disease, then what is the probability that a person has disease, given that his test result is positive?

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 )

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |