Home
Class 11
MATHS
Three coins are tossed once. Find the pr...

Three coins are tossed once. Find the probability of getting: all heads (ii) at least two heads (iii) at most two heads (iv)  no heads    (v) exactly one tail    (vi) exactly 2 tails (vii) a head on first coin.

Text Solution

Verified by Experts

`S{HHH,HHT,HTH,HT T,THH,THT,T TH,T T T}`
`A[HHH}`
`B{HHH,HHT,THH,HTH}`
`C{HHH,HHT,HTH,HT T,THH,THT,T TH}`
`D{TTT}`
`P(A)=1/8`
`P(B)=1/2`
`P(C)=7/8`
...
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|287 Videos
  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|85 Videos

Similar Questions

Explore conceptually related problems

Three coins are tossed once. Find the probability of getting at least one head.

Three coins are tossed once. Find the probability of getting at most two heads.

Threecoins are tossed once. Find the probability of getting (i) 3 heads (ii) 2 heads (iii) 3 tails.

A coin is tossed 6 times. Find the probability of getting (i) exactly 4 heads (ii) at least 1 head (iii) at most 4 heads .

Six coins are tossed simultaneously.Find the probability of getting (i) 3heads (ii) no heads (iii) at least one head

Two coins are tossed simultaneously. Find the probability of getting (i) at least one tail (ii) at least one head.

Three coins are tossed together.Find the probability of getting: (i) exactly two heads (ii) at most two heads (ii) at least one head and one tail.(iv) no tails

Three coins are tossed together. Find the probability of getting: exactly two heads (ii) at least two heads at least one head and one tail (iv) no tails

Two coins are tosses simultaneously. Find the probability of getting: (i) one head (ii) at least one head (iii) no tail

Three unbiased coins are tossed together. Find the probability of getting: (i)all heads (ii) two heads (iii)one head (iv) at least two heads

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. A coin is tossed. If head comes up,  die is thrown but if tail comes...

    Text Solution

    |

  2. Two dice are thrown simultaneously: Find the probability of its occu...

    Text Solution

    |

  3. Three coins are tossed once. Find the probability of getting: all head...

    Text Solution

    |

  4. In a lottery of 50 tickets numbered 1 to 50, two tickets are drawn ...

    Text Solution

    |

  5. Four cards are drawn at random from a pack of 52 playing cards. Find ...

    Text Solution

    |

  6. A sample space consists of 9 elementary event E1, E2, E3 ..... E8, E9 ...

    Text Solution

    |

  7. In a random sampling three items are selected from a lot. Each item is...

    Text Solution

    |

  8. A box contains 1 white and 3 identical black balls. Two balls are draw...

    Text Solution

    |

  9. An experiment consists of rolling die until a 2 appears. (i)How many ...

    Text Solution

    |

  10. From a group of 2 boy and 3 girls, two children are selected at random...

    Text Solution

    |

  11. From a group of 2 boys and 3 girls, two children are selected. Find th...

    Text Solution

    |

  12. Consider the experiment in which a coin is tossed repeatedly until ...

    Text Solution

    |

  13. A pair of dice is rolled. If the outcome is a doublet, a coin is tosse...

    Text Solution

    |

  14. A die is thrown twice. Each time the number appearing on it is reco...

    Text Solution

    |

  15. A card is picked up from a deck of 52 playing cards. What is the sampl...

    Text Solution

    |

  16. In a large metropolitan area, the probabilities are 0.87,0.36,0.30 tha...

    Text Solution

    |

  17. If Aa n dB are mutually exclusive events such that P(A)=0. 35a n dP(B...

    Text Solution

    |

  18. A die is loaded in such a way that a way that each odd number is twice...

    Text Solution

    |

  19. A team of medical students doing internship have to assist during surg...

    Text Solution

    |

  20. Suppose an integer from 1 through 1000 is chosen at random, find the ...

    Text Solution

    |