Home
Class 12
MATHS
A box contains N coins, m of wiich are f...

A box contains N coins, m of wiich are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair ?

A

`(9m)/(8N+m)`

B

`(9m)/(N+8m)`

C

`(4m)/(8N+m)`

D

`(4m)/(N+8m)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C Objective Type Questions (More than one options are correct))|21 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D Linked Comprehension Type Questions)|20 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A Competition Level Questions)|114 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

Similar Questions

Explore conceptually related problems

Find the probability of getting a head when a coin is tossed once.

Find the probability of getting head in a toss of one coin:

Find the probability of getting head in a toss of one coin:

Find the probability of getting a head in a toss of an unbiased coin.

A coin is tossed. What is the probability of getting: a head?

One coin and one fair die are tossed. The probability of getting head on the coin and six on the die is

The probability of getting exactly two heads when tossing a coin three times is

Find the probability of getting a head when a coin is tossed once. Also find the probability of getting a tail.

A coin is tossed twice. Find the probability of getting: two heads

A coin is tossed three times. The probability of getting head and tail alternately, is

AAKASH INSTITUTE ENGLISH-PROBABILITY-ASSIGNMENT (SECTION - B Objective Type Questions (One option is correct))
  1. about to only mathematics

    Text Solution

    |

  2. If A,B and C are three events, such that P(A)=0.3, P(B)=0.4, P(C)=0.8,...

    Text Solution

    |

  3. A box contains N coins, m of wiich are fair and the rest are biased. T...

    Text Solution

    |

  4. Bag A contains 2 white and 3 red marbles and bag B contains 4 white an...

    Text Solution

    |

  5. A and B are two independent witnesses in a case. The probability that ...

    Text Solution

    |

  6. Let A and B be two independent events with P(A) = p and P(B) = q. If p...

    Text Solution

    |

  7. A circle of maximum area is inscribed in an ellipse. If p is the proba...

    Text Solution

    |

  8. The probability of a candidate passing an examination at any one attem...

    Text Solution

    |

  9. Hari and Krishna throw with one die for prize of Rs. 121, which will b...

    Text Solution

    |

  10. Three player A, B and C, toss a coin cyclically in that order (that i...

    Text Solution

    |

  11. Let S = {1, 2, … 100}. The probability of choosing an integer k, 1lekl...

    Text Solution

    |

  12. If m things are distributed among a men and b women. Then the probabil...

    Text Solution

    |

  13. Digits 1, 2, 3, ….. 9 are written in a random order to form a 9 digit ...

    Text Solution

    |

  14. If n biscuits are distributed among N beggars, find the chance that a ...

    Text Solution

    |

  15. There are 5 duplicate and 10 of original items in an automobile shop a...

    Text Solution

    |

  16. A consignment of 15 record players contain 4 defectives. The record p...

    Text Solution

    |

  17. A coin is tossed 15 times, then find the probability that exactly 9 co...

    Text Solution

    |

  18. A team of 8 couples, (husband and wife) attend a lucky draw in which 4...

    Text Solution

    |

  19. Three persons A, B and C speak at a function along with 5 other person...

    Text Solution

    |

  20. Three numbers are selected at random without replacement from the set ...

    Text Solution

    |