Home
Class 14
MATHS
Three dice having digits 1,2,3,4,5 and 6...

Three dice having digits 1,2,3,4,5 and 6 on their faces are marked . I,II and III and rolled . Let x,y and z represent the number on die-I die -II and die -III respectively. What is the number of possible outcomes such that `x gt y gt z `?

A

14

B

16

C

18

D

20

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|159 Videos

  • POINT & LINE

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |105 Videos

  • PROPERTIES OF TRIANGLES

    PUNEET DOGRA|Exercise PREV YEAR QUESTION|30 Videos

Similar Questions

Explore conceptually related problems

Three dice are rolled. The number of possible outcomes in which at least one die shows 5 is

If three six faced die each marked with numbers 1 to 6 on six faces,are thrown find the total number of possible outcomes.

A compound contains three elements X, Y and Z. The oxidation number of X, Y and Z are +3, +5 and -2 respectively. The possible formula of the compound is

An unbiased die with numbers 1, 2, 3, 4, 6 and 8 on its six faces is rolled. After this roll if an odd number appears on the top face, all odd numbers on the die are doubled. If an even number appears on the top face, all the even numbers are halved. If the given die changes in this way then the probability that the face 2 will appear on the second roll is-

Two different dice are tossed together. Find the probability that (i) the number on each die is even, (ii) the sum of the numbers appearing on the two dice is 5.

If x + y + z =1 and x, y, z are positive numbers such that (1 – x) (1 – y) (1 – z) gt= kxyz, then k =

There are two die A and B both having six faces. Die A has three faces marked with 1 , two faces marked with 2 , and one face marked with 3 . Die B has one face marked with 1 , two faces marked with 2 , and three faces marked with 3 . Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E , then P(E) is maximum when x equal to

There are two die A and B both having six faces. Die A has three faces marked with 1, two faces marked with 2, and one face marked with 3. Die B has one face marked with 1, two faces marked with 2, and three faces marked with 3. Both dices are thrown randomly once. If E be the event of getting sum of the numbers appearing on top faces equal to x and let P(E) be the probability of event E, then P(E) is minimum when x equals to

PUNEET DOGRA-PROBABILITY-PREV YEAR QUESTIONS
  1. A pair of fair dice is rolled. What is the probability that the second...

    Text Solution

    |

  2. A fair coin is tossed and an unbiased dice rolled together. What is th...

    Text Solution

    |

  3. Three dice having digits 1,2,3,4,5 and 6 on their faces are marked . I...

    Text Solution

    |

  4. Two integers x and y are chosen with replacement out of the set {0, 1,...

    Text Solution

    |

  5. If the probability of simultaneous occurrence of two events A and B is...

    Text Solution

    |

  6. Three groups of children contain respectively 3 girls and 1 boy, 2 gir...

    Text Solution

    |

  7. 8 coins are tossed simultaneously. The probability of getting at least...

    Text Solution

    |

  8. In a bolt factory, machines X. Y. Z manufacture bolt that are respecti...

    Text Solution

    |

  9. Let A. B and C be three mutually exclusive and exhaustive events assoc...

    Text Solution

    |

  10. If two dice are thrown and at least one of the dice shows 5, then the ...

    Text Solution

    |

  11. A committee of three has to be chosen from a group of 4 men and 5 wome...

    Text Solution

    |

  12. Consider the following in respect of two events A and B. I. P(A oc...

    Text Solution

    |

  13. One bag contains 3 white and 2 black balls, another bag contains 5 whi...

    Text Solution

    |

  14. A box has ten chits numbered 0,1.2.3 9. First, one chit is drawn at ra...

    Text Solution

    |

  15. If A and B are events such that P(A|B)=P(B|A), then

    Text Solution

    |

  16. Two fair dice are rolled. What is the probability of getting a sum of ...

    Text Solution

    |

  17. A committee of two persons is selected from two men and two women. The...

    Text Solution

    |

  18. For two events A and B. P(A)= (1)/(2) let P(A uu B)= (2)/(3) and P(An...

    Text Solution

    |

  19. Let A and B be two events with P(A) = (1)/(3), P(B)= (1)/(6) and P(A n...

    Text Solution

    |

  20. In a binomial distribution, the mean is (2)/(3) and the variance is (5...

    Text Solution

    |