Home
Class 12
MATHS
Let E(1), E(2), E(3), ....,E(n) be indep...

Let `E_(1), E_(2), E_(3), ....,E_(n)` be independent events with respective probabilities `p_(1), p_(2), p_(3), ....,p_(n)`. The probability that none of them occurs is ……….

A

`(1- p_(1))(1-p_(2))(1-p_(3))... (1-p_(n))`

B

`1-{(1- p_(1))(1-p_(2))(1-p_(3))... (1-p_(n))}`

C

`(1- p_(1))+(1-p_(2))+(1-p_(3))+... +(1-p_(n))`

D

`p_(1) + p_(2) + p_(3) + ... + p_(n)`

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

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

Let r_(1),r_(2),r_(3), . . .,r_(n) be the position vectors of points P_(1),P_(2),P_(3), . . .,P_(n) relative to an origin O. show that if then a similar equation will also hold good with respect to any other origin O'. If a_(1)+a_(2)+a_(3)+ . . .+a_(n)=0 .

Let X be a random variable taking values x_(1), x_(2), x_(3), ......., x_(n) with probabilities p_(1), p_(2),p_(3),………, p_(n) respectively. Then var (X) = ………..

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

Let E and F be tow 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) deontes the probability of occurrence of the event T , then

A ship is fitted with three engines E_1 , E_2 , and E_3 ,. The engines function independently of each other with respective probabilities 1/2 . 1/4 and 1/4 ,and For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let X_1 , X_2 , and X_3 denote respectively the events that the engines E_1 , E_2 and E_3 ,are functioning. Which of the following is (are) true?

If E_(1),E_(2),E_(3) and E_(4) are the four elementary outcomes in a sample space and P(E_(1))=0.1,P(E_(2))=0.5,P(E_(3))=0.1 , then the probability of E_(4) is ……….

If P(E) = 0.05, what is the probability of 'not E"?

Probability of independent events is P(A_(i))= (1)/(i+1) . Where i = 1, 2, 3 ... n, probability of an event that at least one event occurs is ...............

KUMAR PRAKASHAN-PROBABILITY-Multiple Choice Questions (MCQs)
  1. A company has three plants at which it produces a certain item. 30% ar...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. Three machines A, B and C produce respectively 30%, 50% and 20% of the...

    Text Solution

    |

  14. Let X be the random variable with following probability distribution. ...

    Text Solution

    |

  15. If P(A cap B)= (1)/(12) and P(A' cap B')= (1)/(2) then P(A) + P(B) = ....

    Text Solution

    |

  16. Probability of an event that newly purchase mobile and laptop will be ...

    Text Solution

    |

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

    Text Solution

    |

  18. Probability of an event that 10 persons A(1), A(2), ..., A(10) with ag...

    Text Solution

    |

  19. In one day match of 50 overs Sachin Tendulkar becomes out in odd numbe...

    Text Solution

    |

  20. Probability of an event that one male person lives 10 years more is (1...

    Text Solution

    |