Home
Class 12
MATHS
One hundred identical coins, each with p...

One hundred identical coins, each with probability 'p' of showing heads are tossed once. If `0 lt p lt 1` and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is

A

`1/2`

B

`49/101`

C

`50/101`

D

`51/101`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Elementary Probability

    A DAS GUPTA|Exercise Exercise|137 Videos
  • Differentiation

    A DAS GUPTA|Exercise Exercise|98 Videos
  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos
A DAS GUPTA-Elementary Probability-Exercise
  1. Fifteen coupons are numbered 1, 2, 3,…, 15 respectively. Seven coupons...

    Text Solution

    |

  2. In a box containing 60 bulbs 6 are defective . What is the prob...

    Text Solution

    |

  3. One hundred identical coins, each with probability 'p' of showing head...

    Text Solution

    |

  4. The probability that an event A happens in one trial of an experiment,...

    Text Solution

    |

  5. A fair coin is tossed n times. If the probability of getting 4, 5 and ...

    Text Solution

    |

  6. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

    Text Solution

    |

  7. The probabilities of three mutually exclusive events are 2/3, 1/4, ...

    Text Solution

    |

  8. If the probabilities for A to fail in an examination is 0.2 and that f...

    Text Solution

    |

  9. State whether the statements are true of false. The probability of get...

    Text Solution

    |

  10. A number x is selected from first 50 natural numbers. Find the probabi...

    Text Solution

    |

  11. State whether the statements are true of false. In a lottery all the t...

    Text Solution

    |

  12. If probabilities A and B are two independent events then P( A nn bar B...

    Text Solution

    |

  13. Out of 20 consecutive numbers, two are chosen at random, the probabili...

    Text Solution

    |

  14. The probability that a man fishing at a particular place will catch 1,...

    Text Solution

    |

  15. A dice is rolled four times. The probability of having more sixes than...

    Text Solution

    |

  16. A five-digit number is written down at random. The probability that th...

    Text Solution

    |

  17. The adjoining figure gives the road plan of lanes connecting two paral...

    Text Solution

    |

  18. Two numbers lambda, mu are chosen one after another at random (with re...

    Text Solution

    |

  19. Two teams A and B play an one-day cricket match. The match is in the l...

    Text Solution

    |

  20. On a piece of paper certain odd number of horizontal lines at equal di...

    Text Solution

    |