Home
Class 12
MATHS
Ten cards numbered 1 through 10 are plac...

Ten cards numbered 1 through 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?

Text Solution

Verified by Experts

`S= {1,2,3,4,5,6,7,8,9,10}`
`A= {4,5,6,7,8,9,10`
`B= {2,4,6,8,10}`
`A nn B = { 4,6,8,10}`
`P(A)= 7/10`
`P(B)= 5/10`
`P(A nn B) = 4/10`
`P(B/A)= (P (B nn A))/(P(A))`
...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|19 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise EXERCISE 13.5|15 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise EXERCISE 13.1|17 Videos
  • MATRICES

    NCERT ENGLISH|Exercise All Questions|105 Videos
  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 1.3|14 Videos

Similar Questions

Explore conceptually related problems

Ten cards numbered 1 through 10 are placed in box, mixed up thoroughly and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an even number?

Ten cards numbered 1 to 10 are placed in a box, and one card is drawn randomly. If it is known that the number on the card is more than 3, what is the probability that it is an even number?

12 cards, numbered 1 to 12 are given. A card in drawn at random. It is known that the number on this card is greater than 6. Find the probability that it is odd.

20 cards whose number are from 1 to 20 are mixed after placing in a box. A card is drawn at random and it is found that the number on the card is greater than 11. Find the probability that the number on the card is an even number.

Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is: (i) an even number (ii) a number less than 14

Cards marked with numbers 3, 4, 5, ......, 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the drawn card is dividing by 7.

Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is: (i) a number which is a perfect square (ii) a prime number less than 20.

Cards marked with the numbers 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card is: (i)a number which is a perfect square (ii) a prime number less than 20.

Hundred identical cards are numbered from 1 to 100. The cards are well shuffled and then a card is drawn. Find the probability that the number on the card drawn is less than 48.

Cards marked with numbers 13, 14, 15, 16 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the card drawn is (a) divisible by 5 (b) a number is a perfect square

NCERT ENGLISH-PROBABILITY-Solved Examples
  1. If a machine is correctly set up. it produces 90% acceptable items. If...

    Text Solution

    |

  2. Prove that if E and F are independent events, then so are the events E...

    Text Solution

    |

  3. A die is thrown. If E is the event the number appearing is a multiple ...

    Text Solution

    |

  4. An unbiased die is thrown twice. Let the event A be "odd number on ...

    Text Solution

    |

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

    Text Solution

    |

  6. If A and B are two independent events, then the probability of occurr...

    Text Solution

    |

  7. A person has undertaken a construction job. The probabilities are 0.65...

    Text Solution

    |

  8. Three cards are drawn successively, without replacement from a pack of...

    Text Solution

    |

  9. An urn contains 10 black and 5 white balls. Two balls are drawn from ...

    Text Solution

    |

  10. If A and B are two events such that: P(A)=7/(13) , P(B)=9/(13) and P(A...

    Text Solution

    |

  11. Ten cards numbered 1 through 10 are placed in a box, mixed up thoro...

    Text Solution

    |

  12. A family has two children, what is the probability that both of the c...

    Text Solution

    |

  13. A die is thrown three times. Events A and B are defined as follows: A:...

    Text Solution

    |

  14. In a school, there are 1000 students, out of which 430 are girls. It i...

    Text Solution

    |

  15. A die is thrown twice and the sum of the numbers appearing is observed...

    Text Solution

    |

  16. Consider the experiment of tossing a coin. If the coin shows head t...

    Text Solution

    |

  17. Suppose that the reliability of a HIV test is specified as follows:Of ...

    Text Solution

    |

  18. In a factory which manufactures bolts, machines A. B and C manufacture...

    Text Solution

    |

  19. Three coins are tossed. Consider the events: E=three heads or three ...

    Text Solution

    |

  20. Given three identical boxes I, II and III, each containing two coins. ...

    Text Solution

    |