Home
Class 12
MATHS
One hundred identical coins each with pr...

One hundred identical coins each with probability p showing up heads are tossed once. `"If" 0 lt p lt 1` and the probability of heads showing on 50 coins is rqual 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

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos
  • RANDOM VARIABLE

    AAKASH SERIES|Exercise EXERCISE - I|33 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos
  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos
AAKASH SERIES-RANDOM VARIABLE -EXERCISE - II
  1. A fair coin is tossed n times. Let x be random variable denoting the n...

    Text Solution

    |

  2. When a coin is tossed n times, if the probability for getting 6 heads ...

    Text Solution

    |

  3. One hundred identical coins each with probability p showing up heads a...

    Text Solution

    |

  4. A die is rolled 3 times. If getting a one is considered as a success, ...

    Text Solution

    |

  5. An unbiased die is tossed 6 times. The mean of number odd numbers is

    Text Solution

    |

  6. In a binomial distribution B(n,p=(1)/(4)), if the probability of at le...

    Text Solution

    |

  7. A die is thrown (2n + 1) times. The probability of getting 1 or 3 or 4...

    Text Solution

    |

  8. If X is a binomial variate with n = 7 and P(X=3)=P(X=4) then P(X=5)=

    Text Solution

    |

  9. For a binomial variate X with n=6, if P(X=2)=9P(X=4), then its varianc...

    Text Solution

    |

  10. The probability that a candidate seeure a seat in Engineering through ...

    Text Solution

    |

  11. The probability that a bomb dropped from a plane strikes the target i...

    Text Solution

    |

  12. An experiment succeeds twice as often as it fails. The probability of ...

    Text Solution

    |

  13. In an average , rain falls on 12 days in every 30 days. The probabilit...

    Text Solution

    |

  14. Suppose A and B are two equally strong table tennis players . The prob...

    Text Solution

    |

  15. The probability that a man can hit a target is 3//4. He makes 5 trials...

    Text Solution

    |

  16. A box contains tickets numbered from 1 to 20. If 3 tickets are drawn o...

    Text Solution

    |

  17. If on an average 1 vessel in every 10 is wrecked, the chance that out ...

    Text Solution

    |

  18. One in 9 ships is likely to be wrecked , when they are set on sail. Wh...

    Text Solution

    |

  19. The probability of happening of an event in a trial is 0.5. The probab...

    Text Solution

    |

  20. The probability that an event does not happen in one trial is 0.8 The ...

    Text Solution

    |