Ask a Question

Six dice are thrown simultaneously. The probability that all of them show the same face, is

in Education by
Six dice are thrown simultaneously. The probability that all of them show the same face, is A. 1 66 B. 1 65 C. 1 6 D. none of these Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Correct Answer - B The total number of elementary events associated to the random experiment of throwing six dice is 6×6×6×6×6×6=66 All dice show the same face means we are getting same number on all six dice. So, this number can be any one of the six numbers 1,2,..6. The number of ways of selecting a number is .6C1 . ∴ Favourable number of elementary events =.6C1 . Hence, required probability = .6C1 66 = 1 65

Related questions

0 votes
Q: Six dice are thrown simultaneously. The probability that exactly three of them show the same face and ramining three show different faces, is
    Six dice are thrown simultaneously. The probability that exactly three of them show the same face and ramining three show ... ( 6 6 ) Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: Three dice are thrown simultaneously. Find the probability that: (i)all of them show the same face. (ii)all show distinct faces. (iii)two of them show
    Three dice are thrown simultaneously. Find the probability that: (i)all of them show the same face. (ii)all ... show the same face. Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Six dice are thrown simultaneously. The probability that all of them show the different faces, is
    Six dice are thrown simultaneously. The probability that all of them show the different faces, is A. 1 6 5 1 B. 6 ! 6 ... D. 5 ! 6 ! 5 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.
    Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability ... is less than 9. Select the correct answer from above options...
asked Nov 21, 2021 in Education by JackTerrance
0 votes
Q: Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is less than 9.
    Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability ... is less than 9. Select the correct answer from above options...
asked Nov 17, 2021 in Education by JackTerrance
0 votes
Q: Let two fair six-faced dice A and B be thrown simultaneously. If `E_1` is the event that die A shows up four, `E_2` is the event that die B shows up t
    Let two fair six-faced dice A and B be thrown simultaneously. If E1 is the event that die A shows up four ... E2 and E3 are independent Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes. What is the probability that the sum of the two nu
    Two dice, one blue and one grey, are thrown at the same time. Write down all the possible outcomes. What is the ... or equal to 12? Select the correct answer from above options...
asked Nov 17, 2021 in Education by JackTerrance
0 votes
Q: 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 num
    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. ... of `D_1,D_2,D_3` is Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: 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
    Three six-faced dice are thrown together. The probability that the sum of the numbers appearing on the dice is k(3≤k≤8) ... 1)(k-2) 432 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Three six-faced dice are thrown together. The probability that the sum of the numbers appearing on the dice is `k(9 le k le 14)`, is
    Three six-faced dice are thrown together. The probability that the sum of the numbers appearing on the dice is k( ... D. none of these Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A dice is thrown `(2n+1)` times. The probability that faces with even numbers show odd number of times is
    A dice is thrown (2n+1) times. The probability that faces with even numbers show odd number of times is A. 1 2 ... 2 D. none of these Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: Two dice are thrown simultaneously . Find the probability of getting (i) an even no. as the sum (ii) the sum as a prime no. (iii)a total of atleast 10
    Two dice are thrown simultaneously . Find the probability of getting (i) an even no. as the sum (ii) the sum ... multiple of 3 as sum Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...