Home
Class 12
MATHS
A coins is tossed three times,where E:h...

A coins is tossed three times,where
E:head on third toss,F: heads on first two tosses find P(E/F)

Text Solution

Verified by Experts

Here,S = {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
E ={HHH,HTH,THH,TTH}, F={HHH,HHT}
`ENNF={HHH}, therefor P(EnnF)=1/8 and P(F)=2/8`
Thus,P(E/F) = `(P(EnnF))/(P(F))`=1/8/2/8=1/2
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

A coins is tossed three times,where E:aleast two heads,F: atmost two heads. Find P(E/F)

A coins is tossed three times,where E:atmost two tails, F: atleast one tail. Find P(E/F) in each case above.

A coin is tossed three times,where the events A:occurring at most two heads,B:occuring at most one tail (ii)Find P(A|B) and P(B|A)

A coin is tossed three times,where the events A:occurring at most two heads,B:occuring at most one tail (i)Write P(A),P(B)

Two coins are tossed once,where E: tail appears on one coin, F: one coins shows head . Find P(E/F)

A coin is tossed 5 times.What is the probability of getting 3 heads?

Find the mean number of heads in three tosses of a fair coin.

Determine P(E|F). A die thrown three times, E: '4 appears on the third toss .F:'6 and 5 appears respectively on the two tosses'.

Find the mean and variance of the number of heads in the two tosses of a coin.

A coin is tossed. If head comes up, a die is thrown,but if tail comes up, the coin is tossed again. Find the probability of obtaining: (i) twỏ tails (ii) head and number 6 (iii) head and an even number

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. If P (A) =6/11,P(B)=5/11and P(AuuB)=7/11,find P(A/B)

    Text Solution

    |

  2. If P (A) =6/11,P(B)=5/11and P(AnnB)=7/11,find P(A/B)

    Text Solution

    |

  3. A coins is tossed three times,where E:head on third toss,F: heads on ...

    Text Solution

    |

  4. A coins is tossed three times,where E:aleast two heads,F: atmost two h...

    Text Solution

    |

  5. A coins is tossed three times,where E:atmost two tails, F: atleast one...

    Text Solution

    |

  6. Two coins are tossed once,where E: tail appears on one coin, F: one co...

    Text Solution

    |

  7. Two coins are tossed once,where E: no tail appears, F: no head appear...

    Text Solution

    |

  8. Determine P(E|F). A die thrown three times, E: '4 appears on the third...

    Text Solution

    |

  9. Mother,Father and Son line up at random for a family picture.E : son o...

    Text Solution

    |

  10. A black and red dice are rolled. Find the conditional probability of o...

    Text Solution

    |

  11. A black and red dice are rolled. Find the conditional probability of o...

    Text Solution

    |

  12. A fair die is rolled. Consider the events E={1,3,5}, F = {2,3} and G...

    Text Solution

    |

  13. A fair die is rolled. Consider the events E={1,3,5}, F = {2,3} and G...

    Text Solution

    |

  14. A fair die is rolled. Consider the events E={1,3,5}, F = {2,3} and G...

    Text Solution

    |

  15. Assume that each born child is equally likely to be a boy or a girl. I...

    Text Solution

    |

  16. Assume that each born child is equally likely to be a boy or a girl. I...

    Text Solution

    |

  17. An instructor has a question bank consisting of 300 easy True/False qu...

    Text Solution

    |

  18. Given that the two numbers appearing on throwing two dice are differen...

    Text Solution

    |

  19. Consider the experiment of throwing a die,if a multiple of 3 comes up,...

    Text Solution

    |

  20. Choose the correct answer.If P (A)=1/2," "P(B)=0," "then " "P(A/B)is

    Text Solution

    |