Home
Class 12
MATHS
A fair coin is flipped n times. Let E be...

A fair coin is flipped n times. Let E be the event "a head is obtained on the first flip" and let `F_(k)` be the event "exactly k heads are obtained". Then the value of `n/k` for which E and `F_(k)` are independent is _____.

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

An unbiased normal coin is tossed n times. Let E_(1): event that both heads and tails are present in n tosses. E_(2): event that the coin shows up heads at most once. The value of n for which E_(1) and E_(2) are independent is ______.

An unbiased normal coin is tossed n times. Let E_1: event that both heads and tails are present in n tosses. E_2: event that the coin shows up heads at most once. The value of n for which E_1a n dE_2 are independent is _________.

A fair coin and an unbiased die are tossed. Let A be the event 'head appears on the coin' and B be the event '3 on the die'. Check whether A and B are independent events or not.

A balanced coin is tossed three times in succession. Let A denote the event of getting 'head' in the first toss and B the event of getting 'tail' in the second toss. Prove that the events A and B are independent.

A coin is tossed thrice. Let the event E be "the first throw results in a head" and the event F be "the last throw results in a tail." Find whether events E and F are independent.

A die is rolled. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?

A coin is tossed three times. Event A: two heads appear Event B: last should be head Then identify whether events Aa n dB are independent or dependent.

A fair coin is tossed n times. The probability of getting head at least once is greater than 0.8. Then the least value of n is -

A fair coin is tossed n times. if the probability that head occurs 6 times is equal to the probability that head occurs 8 times, then find the value of ndot

A coin is tossed three times in succession. If E is the event that there are at least two heads and F is the event in which first throw is a head, then find P(E//F)dot

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. From an urn containing a white and b black balls, k balls are drawn an...

    Text Solution

    |

  2. Suppose Aa n dB shoot independently until each hits his target. They h...

    Text Solution

    |

  3. A fair coin is flipped n times. Let E be the event "a head is obtained...

    Text Solution

    |

  4. Two cards are drawn from a will shuffled pack of 52 cards. The prob...

    Text Solution

    |

  5. Let S = {1,2,3,..., 40} and let A be a subset of S such that notwo ele...

    Text Solution

    |

  6. A bag contains 10 different balls. Five balls are drawn simultaneously...

    Text Solution

    |

  7. Two numbers a ,b are chosen from the set of integers 1, ,2 3, ..., 39....

    Text Solution

    |

  8. Statement 1: Out of 5 tickets consecutively numbered, three are drawn ...

    Text Solution

    |

  9. An unbiased normal coin is tossed n times. Let E1: event that both...

    Text Solution

    |

  10. Answer the following questions : If m things are distributed among a m...

    Text Solution

    |

  11. Of three independent events, the chance that only the first occurs is ...

    Text Solution

    |

  12. Two numbers x and y are chosen at random (without replacement) from am...

    Text Solution

    |

  13. Eight players P1, P2, P3, ...........P8, play a knock out tournament....

    Text Solution

    |

  14. Two dice are thrown simultaneously the probability of getting a total ...

    Text Solution

    |

  15. A speaks truth in 60% cases and B speaks truth in 70% cases. The proba...

    Text Solution

    |

  16. There are 20 cards. Ten of these cards have the letter "I" printed on...

    Text Solution

    |

  17. n persons are seated on n chairs at a round table. Find the probabilit...

    Text Solution

    |

  18. The sum of two positive quantities is equal to 2ndot the probability ...

    Text Solution

    |

  19. A bag contains an assortment of blue and red balls. If two balls are ...

    Text Solution

    |

  20. Dialling a telephone number an old man forgets the last two digits ...

    Text Solution

    |