Home
Class 12
MATHS
The probability that atleast one of the ...

The probability that atleast one of the two events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.3, evaluate `P(barA ) + P(barB)`.

Text Solution

Verified by Experts

The correct Answer is:
1.1
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions) |16 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions) |38 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work |37 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

The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2 then P(A')+P(B') is

The probability of happening of an event A is 0.5 and that of B is 0.3. If A and B are mutually exclusive events, then the probability of neither A nor B is ……….

If M and N are any two events, the probability that at least one of them occurs is

If P (A) is the probability for any event A. then P (A) lt P (barA).

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

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

Of the three independent events E_1, E_2 and E_3, the probability that only E_1 occurs is alpha, only E_2 occurs is beta and only E_3 occurs is gamma. Let the probability p that none of events E_1, E_2 and E_3 occurs satisfy the equations (alpha-2beta), p=alphabeta and (beta-3gamma) p=2beta gamma. All the given probabilities are assumed to lie in the interval (0,1). Then, (probability of occurrence of E_1) / (probability of occurrence of E_3) is equal to

For three events A ,B and C ,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P (Exactly one of C or A occurs) =1/4 and P (All the three events occur simultaneously) =1/16dot Then the probability that at least one of the events occurs, is :

If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is

Let A and B be two events. If P(A | B) = P(A) , then A is ………… of B.

KUMAR PRAKASHAN-PROBABILITY-Solutions of NCERT Exemplar Problems (Short Answer Type Questions)
  1. For a loaded die, the probabilities of outcomes are given as under : ...

    Text Solution

    |

  2. For a loaded die, the probabilities of outcomes are given as under : ...

    Text Solution

    |

  3. The probability that atleast one of the two events A and B occurs is 0...

    Text Solution

    |

  4. A bag contains 5 red marbles and 3 black marbles. Three marbles are dr...

    Text Solution

    |

  5. Two dice are thrown together and the total score is noted. The events ...

    Text Solution

    |

  6. Explain why the experiment of tossing a coin three times is said to ha...

    Text Solution

    |

  7. If A and B are two events such that P(A) = (1)/(2), P(B)= (1)/(3) and ...

    Text Solution

    |

  8. Three events A, B and C have probabilities (2)/(5), (1)/(3) and (1)/(...

    Text Solution

    |

  9. Let E(1) and E(2) be two independent events such that P(E(1)) = P(1) a...

    Text Solution

    |

  10. A discrete random variable X has the probability distribution given as...

    Text Solution

    |

  11. Prove that, P(A)=P(A cap B) +P(A cap barB)

    Text Solution

    |

  12. Prove that P(A cup B) = P(A cap B)+P(A cap barB)+P(barA cap B)

    Text Solution

    |

  13. If X is the number of tails in three tosses of a coin, determine the s...

    Text Solution

    |

  14. In a dice game, a player pays a stake of ₹ 1 for each throw of a die. ...

    Text Solution

    |

  15. Three dice are thrown at the sametime. Find the probability of getting...

    Text Solution

    |

  16. Suppose 10,000 tickets are sold in a lottery each for ₹ 1. First prize...

    Text Solution

    |

  17. A bag contains 4 white and 5 black balls. Another bag contains 9 white...

    Text Solution

    |

  18. Bag-I contains 3 black and 2 white balls, Bag-II contains 2 black and ...

    Text Solution

    |

  19. A box has 5 blue and 4 red balls. One ball is drawn at random and not ...

    Text Solution

    |

  20. Four cards are successively drawn without replacement from a deck of 5...

    Text Solution

    |