Home
Class 12
MATHS
A die is rolled. If the outcome is an...

A die is rolled. If the outcome is an odd number, what is the probability that it is prime?

Text Solution

AI Generated Solution

To solve the problem, we need to find the probability that a rolled die shows a prime number given that the outcome is an odd number. We will follow these steps: ### Step 1: Identify the sample space When rolling a die, the possible outcomes are {1, 2, 3, 4, 5, 6}. **Hint:** Remember that a standard die has six faces, each numbered from 1 to 6. ### Step 2: Identify the odd numbers ...
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos
  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

A die is rolled . If the outcome is an even number , what is the probability it is a prime number .

What is the probability of getting a prime number:

A die is thrown 6 times. If "getting an odd number" is a success, what is the probability of (i) 5 successes?

A die it thrown once. What is the probability of getting a prime number?

A die it thrown once. What is the probability of getting a prime number?

If a die is rolled twice, what is the probability that it will land on an even number both times?

A die is thrown once. What is the probability of getting an odd number?

An unbiased die is such that probability of number n appearing is proportional to n^2(n=1,2,3,4,5,6)dot The die is rolled twice, giving the numbers a and b . Then find the probability that a

A dice is rolled two times or two dice are rolled together. Find the probability of getting: a prime number on each dice.

If a die is rolled twice, what is the probability that it will land on an even number at least once?

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. Find the probability that the sum of the numbers showing on two dic...

    Text Solution

    |

  2. A pair of dice is thrown. Find the probability of getting the sum 8...

    Text Solution

    |

  3. A die is rolled. If the outcome is an odd number, what is the proba...

    Text Solution

    |

  4. A pair of dice is thrown. Find the probability of getting 7 as the sum...

    Text Solution

    |

  5. A pair of dice is thrown. Find the probability of getting 7 as the s...

    Text Solution

    |

  6. A dice is thrown twice and the sum of the numbers appearing is observe...

    Text Solution

    |

  7. Mother, father and son line up at random for a family picture. If A...

    Text Solution

    |

  8. A die is thrown three times. Find P(A/B) and P(B/A), if A=4 appears...

    Text Solution

    |

  9. Two persons A and B throw a die alternately till one of them gets a ...

    Text Solution

    |

  10. A doctor claims of 60% of the patients he examines are allergic to ...

    Text Solution

    |

  11. A clerk was asked to mail three report cards to three students. He ...

    Text Solution

    |

  12. There are three urns A, B and C. Urn A contains 4 white balls and 5...

    Text Solution

    |

  13. A bag contains 3 White, 3 black and 2 red balls. One by one three ball...

    Text Solution

    |

  14. The odds against a husband who is 45 years old, living till he is 70 ...

    Text Solution

    |

  15. A, B and C shot to hit a target. If A hits the target 4 times in 5 ...

    Text Solution

    |

  16. Three critics review a book. Odds in favour of the book are 5:2, 4:3 a...

    Text Solution

    |

  17. The probabilities of A, B and C solving a problem are 1/3, 2/7 and 3/8...

    Text Solution

    |

  18. Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys...

    Text Solution

    |

  19. In the two dice experiment, if A is the event of getting the sum of th...

    Text Solution

    |

  20. Events E and F are independent. Find P(F),ifP(E)=0. 35a n dP(EuuF)=0. ...

    Text Solution

    |