Home
Class 11
MATHS
Suppose the chances of hitting a target ...

Suppose the chances of hitting a target by a person X is 3 times in 4 shots, by Y is 4 times in 5 shots, and by Z is 2 times in 3 shots. They fire simultaneously exactly one time. What is the probability that the target is damaged by exactly 2 hits ?

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER

    FULL MARKS|Exercise PART-1|18 Videos
  • MODEL TEST PAPER

    FULL MARKS|Exercise PART-III|18 Videos
  • INTRODUCTION TO PROBABILITY THEORY

    FULL MARKS|Exercise ADDITIONAL PROBLEM|17 Videos
  • SAMPLE PAPER 4

    FULL MARKS|Exercise PART-IV|6 Videos

Similar Questions

Explore conceptually related problems

A coin is tossed 3 times. The probability of getting exactly 2 heads is ________.

A, B, C shoot to hit a target. If A hits the target 4 times in 5 trials, B hits it 3 times in 4 trials and C hits it 2 times in 3 trials. Find the probability that the target is hit by i. exactly 2 persons. ii. exactly 3 persons. iii atleast 2 persons. iv. atmost 2 persons. V. none.

A man speaks truth 3 out of 4 times. He throws a die and reports that it is a six. What is the probability that is a six?

If the probability of hitting a target by a shooter, in any shot is 1/3, then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than (5)/(6) is

The probability that Mr. Q hits a target at any trial is 1/4 . Suppose he tries at the target 10 times. Find the probability that he hits the target (i) exactly 4 times (ii) at least one time.

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.

A die is thrown 31 times. The probability of getting 2,4 or 5 at most 15 times is

A die is thrown 7 times. What is the chance that an odd number turns up (i) exactly 4 times (ii) at least 4 times

FULL MARKS-MODEL TEST PAPER-PART-IV
  1. The sum of the distance of a moving point from the points (4,0) and (-...

    Text Solution

    |

  2. Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are g...

    Text Solution

    |

  3. Show that the vector veci -2 vec j +3 vec k , -2 vec i + 3 vecj -4 vec...

    Text Solution

    |

  4. Evaluate int (cos2x)/((sin x + cos x)^(2))dx.

    Text Solution

    |

  5. Evaluate int sin^(-1) xdx.

    Text Solution

    |

  6. Evaluate Lim(x rarr pi/4) (4sqrt(2)-(cos x + sin x)^(5))/(1-sin 2 x)

    Text Solution

    |

  7. Suppose the chances of hitting a target by a person X is 3 times in 4 ...

    Text Solution

    |

  8. Find the range of the function (1)/(2cosx-1).

    Text Solution

    |

  9. If the equations x^(2) - ax + b = 0 and x^(2) - ex + f = 0 have one ro...

    Text Solution

    |

  10. Prove that cos theta + cos ((2pi)/(3)- theta)+ cos ((2pi)/(3)+ theta)=...

    Text Solution

    |

  11. Using Binomial theorem, prove that 6^(n)-5n always leaves remainder 1 ...

    Text Solution

    |

  12. If .^(n+2) C(8) : ^((n-2)) P(4) = 57: 16 , find the value of n.

    Text Solution

    |

  13. Show that the points (1, 3), (2, 1) and (1/2, 4) are collinear, by usi...

    Text Solution

    |

  14. The sum of the distance of a moving point from the points (4,0) and (-...

    Text Solution

    |

  15. Verify the property A(B+C) = AB+AC, when the matrices A,B, and C are g...

    Text Solution

    |

  16. Show that the vector veci -2 vec j +3 vec k , -2 vec i + 3 vecj -4 vec...

    Text Solution

    |

  17. Evaluate int (cos2x)/((sin x + cos x)^(2))dx.

    Text Solution

    |

  18. Evaluate int sin^(-1) xdx.

    Text Solution

    |

  19. Evaluate : lim(x to pi/4)(4sqrt2-(cosx+sinx)^5)/(1-sin 2x)

    Text Solution

    |

  20. Suppose the chances of hitting a target by a person X is 3 times in 4 ...

    Text Solution

    |