Home
Class 12
MATHS
The probability that at least one of the...

The probability that at least one of the events A and B occurs is `(3)/(5)`. If A and B occur simultaneously with probability `(1)/(5)`, then the value of `P(A')+P(B')` is -

A

`(2)/(5)`

B

`(4)/(5)`

C

`(6)/(5)`

D

`(7)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
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 probability that at least one of A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, then find the value of P(A^(prime))+P(B^(prime)) .

The probability that at least one of the events Aa n dB occurs is 0.6. If Aa n dB occur simultaneously with probability 0.2, then find P( barA )+P( bar B )dot

Show that the probability that exaclty one of the events A and B occurs is P(A) + P(B) - 2P(AB).

Show that the probability that exactly one of the events A and B occurs is P(A) + P(B) - 2P(AB).

If the probability that exactly one of the two events A and B occurs is p and the probability that both A and B occur is q, then -

The probability of occurance of at least one of two events A and B is 0.6 while that of occurrence of both of them is 0.2. find the value of P(A^c) + P(B^c)

If A and B are two events, then probability that exactly one of them occurs is -

Let E and F be two independent events. The probability that exactly one of them occurs is 11/25 and the probability if none of them occurring is 2/25 . If P(T) denotes the probability of occurrence of the event T , then (a) P(E)=4/5,P(F)=3/5 (b) P(E)=1/5,P(F)=2/5 (c) P(E)=2/5,P(F)=1/5 (d) P(E)=3/5,P(F)=4/5

Two events A and B have probabilities 0.25 and 0.50 respectively the probability that both A and B occur simultaneously is 0.14 find the probability that neither A nor B occurs.

For the three events A ,B , and C , P (exactly one of the events A or B occurs)= P (exactly one of the two evens B or C )= P (exactly one of the events C or A occurs)= p and P (all the three events occur simultaneously)= p^2 where 0 < p < 1//2 . Then the probability of at least one of the three events A , B and C occurring is

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. The probability that at least one of the events A and B occurs is (3)/...

    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

    |