Home
Class 12
MATHS
The probability of two students A and B ...

The probability of two students A and B coming to school are `2/7` and `4/7` respectively. Assuming that the events 'A coming on time' and 'B coming on time' are independent, find the probability only one of them comes on time.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos

Similar Questions

Explore conceptually related problems

The probabilities of two students A and B coming to the school in time are 3/7"\ " and 5/7 respectively. Assuming that the events, A coming in time and B coming in time are independent, find the probability of only one of them coming to the school in time. Write at least one advantage of coming to school in time.

If A and B are two independent events, then the probability that only one of A and B occur is

The probability of student A passing an examination is 3/7 and of student b passing is 5/7. Assuming the two events Apasses, B passes, as independent, find the probability of: Only A passing the examination Only one of them passing the examination

If A and B are two events, the probability that exactly one of them occurs is given by

A probability of student A passing an examination is 2/9 and of student B passing is 5/9. Assuming the two events: A passes, B passes as independent, find the probability of : (i) only A passing the examination (ii) only one of them passing the examination.

Two dice are thrown simultaneously find the probability of the sum of numbers coming up is 8.

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.

The probability of A, B and C solving a problem are (1)/(3) , (2)/(7) and (3)/(8) , respectively. If all try and solve the problem simultaneously, find the probability that only one of them will solve it.

The probability of happening of an event is 0.6 for one experiment. In three such experiments, find the probability of happening the event at least one time.

If a die is thrown 5 times, then find the probability that an odd number will come up exactly three times.

XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. int1^5(|x-1|+|x-2|+|x-4|)\ dx

    Text Solution

    |

  2. Find the particular solution of the differential equation: (1+e^2x)dy+...

    Text Solution

    |

  3. The probability of two students A and B coming to school are 2/7 and 4...

    Text Solution

    |

  4. If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

    Text Solution

    |

  5. If x,y,z are different and Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...

    Text Solution

    |

  6. Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...

    Text Solution

    |

  7. int cos2x*cos4x*cos6x dx

    Text Solution

    |

  8. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

    Text Solution

    |

  9. Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

    Text Solution

    |

  10. Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...

    Text Solution

    |

  11. Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...

    Text Solution

    |

  12. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

    Text Solution

    |

  13. Obtain the inverse of the following matrix, using elementary operation...

    Text Solution

    |

  14. Using vectors, find the value of x such that the four points A(x,5,-1)...

    Text Solution

    |

  15. For any two vectors vec a and vec b , prove that (vec a xx vec b )^2=...

    Text Solution

    |

  16. Find the co-ordinates of the point, where the line ((x+2)/1)=((y-5)/3)...

    Text Solution

    |

  17. Using matrices solve the following system of linear equations: {(2x+3y...

    Text Solution

    |

  18. Find int ((x-1)/ ((x-2)(x-3))) dx

    Text Solution

    |

  19. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)), |x|<1/sqrt3 w.r.t tan^(-1)(...

    Text Solution

    |

  20. Evaluate: int(e^x)/(sqrt(5-4e^x-e^(2x))) dx

    Text Solution

    |