Home
Class 12
MATHS
A die is thrown. If E is the event the n...

A die is thrown. If E is the event the number appearing is a multiple of 3' and F be the event 'the number appearing is even' then find whether E and F are independent ?

Text Solution

Verified by Experts

The correct Answer is:
E and F are independent events.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT BANGLISH|Exercise EXERCISE 3.1|17 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise EXERCISE 3.2|18 Videos

  • MATRICES

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 3|15 Videos

  • RELATIONS AND FUNCTIONS

    NCERT BANGLISH|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

A fair coin and an unbiased die are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the die'. Check whether A and B are independent events or not.

A coin is tossed thrice. Let the event E be "the first throw results in a head" and the event F be "the last throw results in a tail." Find whether events E and F are independent.

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, 'the number is even,' and B be the event, 'the number is red'. Are A and B independent?

An unbiased die is thrown twice. Let the event A be 'odd number on the first throw' and B the event 'odd number on the second throw'. Check the independence of the events A and B.

A die is rolled. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?

An unbiased die is thrown twice. Let the event A be "odd number on the first throw" and B the event "odd number on the second throw". Check the independence of the events A and B.

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, and B be the event, the number is red. Are A and B independent?

A fair coin is flipped n times. Let E be the event "a head is obtained on the first flip" and let F_(k) be the event "exactly k heads are obtained". Then the value of n/k for which E and F_(k) are independent is _____.

A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?

A die is thrown twice and the sum of the numbers appearing is observed to be 8. What is the conditional probability that the number 5 has appeared at least once ?

NCERT BANGLISH-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. A die is thrown. If E is the event the number appearing is a multiple ...

    Text Solution

    |

  2. A and B are two events such that P (A) != 0. Find P(B|A), if (i) A ...

    Text Solution

    |

  3. A couple has two children, (i) Find the probability that both child...

    Text Solution

    |

  4. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

    Text Solution

    |

  5. Suppose that 90% of people are right-handed. What is the probability t...

    Text Solution

    |

  6. An urn contains 25 balls of which 10 balls bear a mark 'X' and the rem...

    Text Solution

    |

  7. In a hurdle race, a player has to cross 10 hurdles. The probability th...

    Text Solution

    |

  8. A die is thrown again and again until three sixes are obtained. Find t...

    Text Solution

    |

  9. If a leap year is selected at random, what is the chance that it will ...

    Text Solution

    |

  10. An experiment succeeds twice as often as it fails. Find the probabilit...

    Text Solution

    |

  11. How many times must a man toss a fair coin so that the probability of ...

    Text Solution

    |

  12. In a game, a man wins a rupee for a six and loses a rupee for any othe...

    Text Solution

    |

  13. Suppose we have four boxes A,B,C and D containing coloured marbles as ...

    Text Solution

    |

  14. Assume that the chances of a patient having a heart attack is 40%. It ...

    Text Solution

    |

  15. If each element of a second order determinant is either zero or one, w...

    Text Solution

    |

  16. An electronic assembly consists of two subsystems, say, A and B. From ...

    Text Solution

    |

  17. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and 5...

    Text Solution

    |

  18. Choose the correct answer: If A and B are two events such that P(A) ...

    Text Solution

    |

  19. Choose the correct answer: If P(A|B) gt P(A), then which of the foll...

    Text Solution

    |

  20. Choose the correct answer: If A and B are any two events such that P...

    Text Solution

    |