Home
Class 10
MATHS
Find the probability that a leap year se...

Find the probability that a leap year selected at random will contain 53 Sundays.

Text Solution

Verified by Experts

The correct Answer is:
` 2/7`
A leap year has 366 days=52 weeks and 2 days.
Now, 52 weeks contain 52 Sundays.
The remaining 2 days can be:
(i) Sunday and Monday (ii) Monday and Tuesday
(iii) Tuesday and Wednesday (iv) Wednesday and Thursday
(v) Thursday and Sunday (vi) Friday and Saturday
(vii) Saturday and Sunday
Out of these 7 cases, their are 2 cases favouring it to be Sunday.
` :. ` P( a leap year having 53 Sundays ) =` 2/7`.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|37 Videos

  • PROBABILITY

    RS AGGARWAL|Exercise Exercise 19A|39 Videos

  • POLYNOMIALS

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • QUADRATIC EQUATIONS

    RS AGGARWAL|Exercise Test Yourself|55 Videos

Similar Questions

Explore conceptually related problems

Find the probability that a leap year selected at random will contain 53 days.

What is the probability that a leap year selected at random contains 53 Sundays is

The probability that a non-leap your selected at random will contain 53 Sunday is

The probability that a non-leap year selected at random will contains 53 Mondays is:

The probability that a leap year selected at random will have 54 Sundays is

The probability that a leap year selected at random will contain either 53 Thursday or 53 Friday is

RS AGGARWAL-PROBABILITY-Exercise 19B
  1. A piggy bank contains hundred 50p coins, fifty Rs. 1 coins, twenty ? ...

    Text Solution

    |

  2. The probability of selecting a red ball at random from a jar that con...

    Text Solution

    |

  3. A bag contains 18 balls out of which x balls are red. (i) If one bal...

    Text Solution

    |

  4. A jar contains 24 marbles. Some of these are green and others are blu...

    Text Solution

    |

  5. A jar contains 54 marbles each of which is blue, green or white. The ...

    Text Solution

    |

  6. A carton consists of 100 shirts of which 88 are good and 8 have minor ...

    Text Solution

    |

  7. A group of 12 persons, of which 3 are extremely patient, other 6 are e...

    Text Solution

    |

  8. A die is relled twice. Find the probability that 5 will come up both t...

    Text Solution

    |

  9. Two dice are rolled once. Find the probability of getting such number...

    Text Solution

    |

  10. A letter is chosen at random from the letters of the word 'ASSOCIATIO...

    Text Solution

    |

  11. Five cards- the tan, jack, queen, king and ace of diamonds are well sh...

    Text Solution

    |

  12. A card is drawn at random from a well shuffled pack of 52 cards. Find ...

    Text Solution

    |

  13. What is the probability that on ordinary year has 53 Mondays?

    Text Solution

    |

  14. All red face cards are removed from a pack of playing cards. The re...

    Text Solution

    |

  15. All kings, queens are aces are removed from a pack of 52 cards. The ...

    Text Solution

    |

  16. A game consists of tossing a one-rupee coin three times, and noting it...

    Text Solution

    |

  17. Find the probability that a leap year selected at random will contain ...

    Text Solution

    |

  18. The probability of selecting a rotten apple randomly from a heap of 90...

    Text Solution

    |

  19. A bag contains 15 white and some black balls. If the probability o...

    Text Solution

    |

  20. Find the probability of getting the sum of two numbers, less than 3 or...

    Text Solution

    |