Home
Class 12
MATHS
A fair coin and an unbiased dice are tos...

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.

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.3 |14 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.4 |20 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.1 |23 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

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

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 ?

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.

If A and B are independent events, then A' and B' are also independent.

If the events A and B are independent, then P(A cap B) is equal to ……..

Three coins are tossed once. Let A denote the event 'three heads show", B denote the event "two heads and one tail show", C denote the event" three tails show and D denote the event 'a head shows on the first coin". Which events are (i) mutually exclusive? (ii) simple (iii) Compound?

Three coins are tossed once. Let A denote the event three heads show'', B denote the event ''two heads and one tail show'', C denote the event'' three tails show and D denote the event 'a head shows on the first coin''. Which events are: (i) mutually exclusive ? (ii) simple ? (iii) Compound ?

Two balanced dice are tossed. Find probability of the event that sum of the numbers obtain on both dice is 3 or it is multiple of 5.

KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.2
  1. Two cards are drawn at random and without replacement from a pack of 5...

    Text Solution

    |

  2. A box of oranges is inspected by examining three randomly selected ora...

    Text Solution

    |

  3. A fair coin and an unbiased dice are tossed. Let A be the event 'head ...

    Text Solution

    |

  4. A dice marked 1, 2, 3 in red colour and 4, 5, 6 in green colour is tos...

    Text Solution

    |

  5. Let E and F be events with P(E)=(3)/(5), P(F)=(3)/(10) and P (E cap ...

    Text Solution

    |

  6. Given that the events A and B are such that P(A)= (1)/(2), P( A cap B...

    Text Solution

    |

  7. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

    Text Solution

    |

  8. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

    Text Solution

    |

  9. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

    Text Solution

    |

  10. Let A and B be independent events with P(A)= 0.3 and P( B)= 0.4. Find ...

    Text Solution

    |

  11. If A and B are two events such that P(A) =(1)/(4), P(B) = (1)/(2) an...

    Text Solution

    |

  12. Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...

    Text Solution

    |

  13. Given two independent events A and B such that P(A) = 0.3, Find (i...

    Text Solution

    |

  14. Given two independent events A and B such that P(A) = 0.3, Find (i...

    Text Solution

    |

  15. Given two independent events A and B such that P(A)= 0.3, P(B)= 0.6. F...

    Text Solution

    |

  16. Given two independent events A and B such that P(A) = 0.3, Find (i...

    Text Solution

    |

  17. A die is tossed thrice. Find the probability of getting an odd number ...

    Text Solution

    |

  18. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  19. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |

  20. Two balls are drawn at random with replacement from a box containing 1...

    Text Solution

    |