Home
Class 12
MATHS
Four fair dice , D1 D2, D3 and D4 each h...

Four fair dice , `D_1 D_2, D_3 and D_4` each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The probability that `D_4` shows a number appearing on one of `D_1,D_2 and D_3` is

A

`91/216`

B

`108/216`

C

`125/216`

D

`127/216`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos

  • MOCK TEST-3

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos

Similar Questions

Explore conceptually related problems

four fair dice D_1, D_2,D_3 and D_4 each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The probability that D_4 shows a number appearing on one of D_1,D_2,D_3 is

The number of neutrons in 5 "g of" D_(2)" O(D is " ._(1)^(2)H)

Three photo diodes D_1 , D_2 and D_3 are made of semiconductors having band gaps of 2.5 eV, 2eV and 3eV, respectively. Which ones will be able to detect light of wavelength 6000 oversetcircA ?

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is a. 1//15 b. 14//15 c. 1//5 d. 4//5

If X={1,2,3,4,5} and Y={a,b,c,d,e,f} and f:X rarr Y , find the total number of functions .

Three six-faced dice are thrown together. The probability that the sum of the numbers appearing on the dice is k(3 le k le 8) , is a. ((k-1)(k-2))/(432) b. (k(k-1))/(432) c. (k^2)/(432) d. None of these

A(5,4),B(3,8),C(-1,6) and D are coplanar points. Find the coordinates of D so that vec AB= vec DC .

If D_(1) and D_(2) are two 3x3 diagnal matrices where none of the diagonal elements is zero, then

The points A(2,-2),B(3,-3),C(4,-4) and D(5,-5) lie in

Show that the points A(3,2,1),B(4,5,5),C(4,2,-2) and D(6,5,-1) are coplanar.

MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. If C and D are two events such that CsubD and P(D)ne0, then the correc...

    Text Solution

    |

  2. Consider 5 independent Bernoulli's trials each with probability of suc...

    Text Solution

    |

  3. Let A, B, C be pariwise independent events with P(C) >0 and P(AnnBnnC)...

    Text Solution

    |

  4. Three numbers are chosen at random without replacement from {1,2,3,……8...

    Text Solution

    |

  5. Four fair dice , D1 D2, D3 and D4 each having six faces numbered 1,2,3...

    Text Solution

    |

  6. Four person independently solve a certain problem correctly with pro...

    Text Solution

    |

  7. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

    Text Solution

    |

  8. if 12 identical balls are to be placed in 3 identical boxes, then the ...

    Text Solution

    |

  9. Let two fair six-faced dice A and B be thrown simltaneously. If E(1) i...

    Text Solution

    |

  10. If P(A)=7/13, P(B)=9/13 and P(AnnB)=4/13, evaluate P(A/B).

    Text Solution

    |

  11. Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...

    Text Solution

    |

  12. An urn contains 10 black and 5 white balls. Two balls are drawn from t...

    Text Solution

    |

  13. Probability of solving specific problem independently by A and B are 1...

    Text Solution

    |

  14. Probability of solving specific problem independently by A and B are 1...

    Text Solution

    |

  15. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...

    Text Solution

    |

  16. Find the probability distribution of number of doublets in three throw...

    Text Solution

    |

  17. Ten eggs are drawn successively with replacement from a lot containing...

    Text Solution

    |

  18. Assume that the chances of a patient having a heart attack is 40%. It ...

    Text Solution

    |

  19. The random variable X has a probability distribution P(X) of the follo...

    Text Solution

    |

  20. The random variable X has a probability distribution P(X) of the follo...

    Text Solution

    |