Home
Class 12
MATHS
Probability of solving specific problem ...

Probability of solving specific problem independently by A and B are `(1)/(2)` and `(1)/(3)` respectively. If both try to solve the problem independently, find the probability that
(i) the problem is solved (ii) exactly one of them solves the problem.

A

`(3)/(4)`

B

`(1)/(2)`

C

`(2)/(3)`

D

`(7)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 2|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 3|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

The probabilities of solving mathematical problem by Gopal, and Kesto are (1)/(3)" and " (1)/(4) respectively. Find the probability of not solving the problem.

The probability of' the solving a problems in mathematics of three students are 1/3,1/5,1/6 . If they try to solve the problem together, find the probability that the problem is solved by at least one student.

The probability that 3 students can solve a mathematics problem independently is (1)/(3), (1)/(4) and (1)/(5) respectively. The chance that the problem is solved is

The probabilities of solving a problem correctly by A and B are (1)/(8) and (1)/(12) respectively. Given that they obtain the same answer after solving a problem and the probability of a common mistake by them is (1)/(1001) , then probability that their solution is correct is (Assuming that if they commit different mistake, then their answers will differ)

The probabilities of solving a problem by three students A,B,C are 3/7,3/8,and 1/3 if all of them try independently find the probability that the problem is not solved.

The probabilities of A , B and C solving a problem independently are respectively (1)/(4) , (1)/(5) , (1)/(6) . If 21 such problems are given to A , B and C then the probability that at least 11 problems can be solved by them is

The probabilities for A, B, and C hitting a target are (1)/(3), (1)/(5) and (1)/(4) respectively. If they try together, find the probability of exactly one shot hitting the target.

If A and B are 2 event with probability P(A) and P(B), then find the probability that exactly one of them occur.

A problem in mathematics is given to two students A and B. The probability of solving the problem is (3)/(4) and (5)/(7) respectively. If the probability that the problem is solved by both of them is (2n)/(21) , then the value of n is -

A problem on mathematics is given to three students A, B, C whose probabilities of solving it are (1)/(3), (2)/(5) and (3)/(4) respectively. Find the probability that the problem is solved.

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. Probability of solving specific problem independently by A and B are (...

    Text Solution

    |

  2. The inverse of the matrix [(1, 0,0),(a,1,0),(b,c,1)] is -

    Text Solution

    |

  3. If A=|a(ij)| and A(ij) denotes the cofactor of a(ij), then which of th...

    Text Solution

    |

  4. The minors of (-4) and 9 and the cofactors of (-4) and 9 in matrix [(...

    Text Solution

    |

  5. If |(0,x-a,x-b),(x+a,0,x-c),(x+b,x+c,0)|=0 then the value of x is -

    Text Solution

    |

  6. If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no so...

    Text Solution

    |

  7. If A=[(-i,0),(0,i)] then A^(T)A is equal to -

    Text Solution

    |

  8. If A=[(0,3),(4,5)] and kA=[(0,4a),(3b,60)], then the values of k, a an...

    Text Solution

    |

  9. The value of the determinant |(1,a,a^(2)-bc),(1,b,b^(2)-ca),(1,c,c^(2)...

    Text Solution

    |

  10. If the matrix A stisfies the equation [(1,3),(0,1)]*A=[(1,1),(0,-1)],...

    Text Solution

    |

  11. For any matrix A, if A^(-1) exists then which of the following is not ...

    Text Solution

    |

  12. If a(1), a(2), a(3)…, a(n) are in G.P., then the value of the determin...

    Text Solution

    |

  13. The value of the determinant |((10)!,(11)!,(12)!),((11)!,(12)!,(13)!),...

    Text Solution

    |

  14. If C is the midpoint of AB and P is any point outside AB, then which o...

    Text Solution

    |

  15. The position vectors of the points A, B, C are (hati-3hatj-5hatk),(2h...

    Text Solution

    |

  16. If N be the set of natural numbers and and N(a)={an :n in N} then N(5)...

    Text Solution

    |

  17. If the function f: R to R is defined by f(x)=x^(2)-6x-14, then f^(-1)(...

    Text Solution

    |

  18. Let f:R to R be defined by f(x)=x^(2) and g:R to R be defined by g(...

    Text Solution

    |

  19. If f:R to S is defined by f(x)=sinx-sqrt(3)cosx+1 is onto, then the in...

    Text Solution

    |

  20. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  21. The value of ["tan"^(-1)(m)/(n)-tan^(-1)((m-n)/(m+n))] is -

    Text Solution

    |