Home
Class 12
MATHS
Complementary events of E and F are E' ...

Complementary events of E and F are E' and F' respectively if `0 lt P(F) lt 1` then …………

A

`P(E//F) + P(E'//F) = 1`

B

`P(E//F) + P(E'//F') = 1`

C

`P(E'//F) + P(E//F') = 1`

D

`P(E//F) + P(E'//F') = 1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - A (Choose the correct option))|6 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - B (Answer the following questions))|4 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers) |5 Videos
  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

For events E and F if P(E) le P(F) and P(E cap F) gt 0 then …………

Let E^c denote the complement of an event E. Let E,F,G be pairwise independent events with P(G) gt 0 and P(E nn F nn G)=0 Then P(E^c nn F^c | G) equals

If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1, then

Two events E and F are independent. If P(E ) = 0.3 and P(E cup F)= 0.5 , then P(E//F)- P(F//E) equal ………

Statement-1: if A and B are two events, such that 0 lt P(A),P(B) lt 1, then P((A)/(overline(B)))+P((overline(A))/(overline(B)))=(3)/(2) Statement-2: If A and B are two events, such that 0 lt P(A), P(B) lt 1, then P(A//B)=(P(AcapB))/(P(B)) and P(overline(B))=P(A capoverline(B))+P(overline(A) cap overline(B))

Determine P(E|F) A dice is thrown three times, E : 4 appears on the third toss, F : 6 and 5 appears respectively on first two tosses

Prove that if E and F are independent events, then so are the events E and F'.

Determine P(E|F) A die is thrown three times, E : 4 appears on the third toss, F : 6 and 5 appears respectively on first two tosses

Two dice are thrown together and the total score is noted. The events E, F and G are 'a total of 4', 'a total of 9 or more', and 'a total is divisible by 5', respectively. Calculate P(E), P(F) and P(G) and decide which pairs of events, if any, are independent.

E and F are two independent events. The probability that both E and F happen is 1/12 and the probability that neither E nor F happens is 1/2. Then

KUMAR PRAKASHAN-PROBABILITY-Multiple Choice Questions (MCQs)
  1. Two unbaised coins are tossed. If one coin shows head, the probabilit...

    Text Solution

    |

  2. In a college 12 % students fails in mathematics, 25% fails in physics ...

    Text Solution

    |

  3. Complementary events of E and F are E' and F' respectively if 0 lt P(...

    Text Solution

    |

  4. Two cards are drawn in succession from a standard well shuffled pack o...

    Text Solution

    |

  5. a circular wheel with numbers 1 to 20 on its surface is rolled twice. ...

    Text Solution

    |

  6. Let A and B be two events such that P(A)= 0.4, P(A cup B)= 0.7 and P(B...

    Text Solution

    |

  7. A problem in mathematics is given to three students A, B, C and their ...

    Text Solution

    |

  8. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  9. A company has three plants at which it produces a certain item. 30% ar...

    Text Solution

    |

  10. A problem of mathematics is given to three students and probability of...

    Text Solution

    |

  11. Let E(1), E(2), E(3), ....,E(n) be independent events with respective ...

    Text Solution

    |

  12. Two cards are drawn at random from the well shuffled pack of 52 cards....

    Text Solution

    |

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

    Text Solution

    |

  14. A small town has one fire engine and one ambulance available for emerg...

    Text Solution

    |

  15. If A and B are two independent events such that P(A cap B)= (3)/(25) ...

    Text Solution

    |

  16. A and B are independent events P(A cap B)= 0.5 and P(A)= 0.2 then P(B)...

    Text Solution

    |

  17. A purse contains 6 Silver coins and 3 Gold coins. Another purse contai...

    Text Solution

    |

  18. A fair coin is tossed n times, then what is the probability that H (He...

    Text Solution

    |

  19. A building has two lifts. L(1) and L(2) are events when lifts are work...

    Text Solution

    |

  20. Suppose A and B are two persons. The probability that A does the job i...

    Text Solution

    |