Home
Class 12
MATHS
The probability of hitting a target by t...

The probability of hitting a target by thre marksemen A, B and C are `1/2,1/3and1/4,`respectively. Find the probability that one and only one of them will hit the target when they fire simultaneously

Text Solution

Verified by Experts

The correct Answer is:
`(11)/(24)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise LEVEL - 2|49 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos
  • PERMUTATION & COMBINATION

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|50 Videos
  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos

Similar Questions

Explore conceptually related problems

The probability of hitting a target by three marksmen are 1/2, 1/3 and 1/4. Then find the probability that one and only one of them will hit the target when they fire simultaneously.

The probability of hitting a target by three marksmen are 1/2, 1/3 and 1/4. Then find the probabi9lity that one and only one of them will hit the target when they fire simultaneously.

The probability of winning a race by three persons A ,B , and C are 1/2, 1/4 and 1/4 , respectively. They run two races. The probability of A winning the second race when B , wins the first race is (A) 1/3 (B) 1/2 (C) 1/4 (D) 2/3

The probabilities of hitting a target by A, B and C are 3/5,3/4 and 1/3 respectively. If all three hits the target simultaneously then find the probability of hitting the target by the least two of them.

In a horse -race, the probabilities to win the race for three horses A,B and C are 1/4,1/5 and 1/6 respectively. Find the probability to win the race of any one horse.

A is targeting to B, B and C are targeting to A. probability of hitting the target by A, B and C are 2/3, 1.2 and 1/3, respectively. If A is hit, then find the Probability that B hits the target and C does not.

In a race the probabilities of A and B winning the race are 1/3 and 1/6 respectively. Find the probability of neighter of them winning the race.

In a given race , the odds in favour of horses A,B,C and D are 1 : 3 , ,1 : 4, 1 : 5 and 1 : 6 respectively. Find the probability that one of them wins the race .

If the probability that A and B will die within a year are p and q respectively, then the probability that only one of them will be alive at the end of the year, is

Three persons A, B and C shoot to hit a target. Their probabilities of hitting the target are (5)/(6),(4)/(5) and (3)/(4) respectively. Find the probability that: (i) Exactly two persons hit the target. (ii) At least one person hits the target.

VMC MODULES ENGLISH-PROBABILITY-LEVEL - 1
  1. Three cards are drawn at random from an ordinary pack of cards, find t...

    Text Solution

    |

  2. If four whole numbers taken at random are multiplied together, then fi...

    Text Solution

    |

  3. The probability of hitting a target by thre marksemen A, B and C are 1...

    Text Solution

    |

  4. Three cards are drawn from a well shuffled pack of cards with replacem...

    Text Solution

    |

  5. Find the probability of drawing two spades from a well shuffled pack o...

    Text Solution

    |

  6. A speaks truth in 60% of the cases, while B in 40% of the cases. In wh...

    Text Solution

    |

  7. The probability of ‘n’ independent events are P(1) , P(2) , P(3) ……., ...

    Text Solution

    |

  8. about to only mathematics

    Text Solution

    |

  9. If A and B are two Mutually Exclusive events in a sample space S such ...

    Text Solution

    |

  10. If the probability that A and B will die within a year are p and q res...

    Text Solution

    |

  11. Each of A and B tosses two coins. What is the probability that they ge...

    Text Solution

    |

  12. If A and B are two independent events such that P(barAnnB)=2//15and P(...

    Text Solution

    |

  13. If A and B are two events, the probability that exactly one of them oc...

    Text Solution

    |

  14. If E and F are the complementary events of events E and F , respect...

    Text Solution

    |

  15. If A and B are two events, the probability that exactly one of them oc...

    Text Solution

    |

  16. The probability of the simultaneous occurrence of two events A and B i...

    Text Solution

    |

  17. For two events A and B, if P(A)=P((A)/(B))=(1)/(4) and P((B)/(A))=(1)/...

    Text Solution

    |

  18. If A and B are two independent events such that P(A)=(1)/(2) and P(B)=...

    Text Solution

    |

  19. A and B are two independent events such that 0 lt P(A) lt 1,0 < P(B) ...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |