Home
Class 12
MATHS
An unbiased die is thrown twice. Let the...

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.

Text Solution

Verified by Experts

The correct Answer is:
A and B are independent events.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.1|17 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.2|18 Videos
  • MATRICES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 3|15 Videos
  • RELATIONS AND FUNCTIONS

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

Similar Questions

Explore conceptually related problems

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

A fair die is thrown twice. Let (a, b) denote the outcome in which the first throw shows 'a' and the second throw shows 'b' . Let A and B be the following events : A={(a,b): a is even}, B={(a,b): b is even} Statement-1: If C={(a,b): a+b is odd}, then P(A cap B cap C)=(1)/(8) Statement-2: If D={(a,b): a+b is even}, then P(A cap B cap D// A cup B)=(1)/(3)

A die is thrown twice. What is the probability that at least one of the two throws comes up with the number 4 ?

A die is thrown three times. Events A and B are defined as below: A : 4 on the third throw B : 6 on the first and 5 on the second throw Find the probability of A given that B has already occurred.

A die is thrown. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P""(AuuB) is

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 ?

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 ?

A box contains 4 tickets with numbers 112, 121, 211 and 222. One ticket is drawn from it. Let A_(i) (i = 1, 2, 3) be the event that its digit at the number on ticket drawn is 1. Discuss the independence of the events A_(1),A_(2),A_(3) .

Consider the experiment of rolling a die. Let A be the event 'getting a prime number', B be the event 'getting an odd number'. Write the sets representing the events (i) A or B (ii) A and B (iii) A but not B (iv) 'not A.

NCERT GUJARATI-PROBABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 13
  1. An unbiased die is thrown twice. Let the event A be 'odd number on the...

    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 dice is thrown again and again until three sixes are obtained. Find ...

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |