Home
Q&A
Education
Technology
Credit
General
Health
Insurance
Questions
Ask a Question
Six faces of a die are marked with numbers `1, -1, 0, -2, 2, 3` and the die is thrown thrice. The probability that the sum of the numbers thrown is si
Home
Education
Six faces of a die are marked with numbers `1,...
asked
Nov 15, 2021
in
Education
by
JackTerrance
Six faces of a die are marked with numbers 1,-1,0,-2,2,3 and the die is thrown thrice. The probability that the sum of the numbers thrown is six, is A. 1 72 B. 1 12 C. 5 108 D. 1 36 Select the correct answer from above options
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
1
Answer
0
votes
answered
Nov 15, 2021
by
JackTerrance
Best answer
Correct Answer - C Total number of elementary events =63 . Favourable number of elementary events =Coeff.of x6 in (x+x-1+ 0 x +x-2+x2+x3)3 = Coeff.of x12 in ( 1+x+x2+x3+x4+x5 x2 )3 = Coeff.of x12 in (1+x+x2+x3+x4+x5)3 =Coeff. of x12 in ( 1-x6 1-x )3 = Coeff.of x12 in (1-x6)3(1-x)-3 =Coeff.of x12 in (1-.3C1x6+.3C2x12..)(1-x)-3 =Coeff.of x12 in (1-x)-3-.3C1× Coeff.ofx6 in (1-x)-3+.3C2× Coeff.ofx0 in (1-x)-3 x 12 in ( 1 − x ) − 3 − . 3 C 1 × Coeff.of x 6 in ( 1 − x ) − 3 + . 3 C 2 × Coeff.of x 0 in ( 1 − x ) − 3 =.12+3-1C3-1-.3C1×.6+3-1C3-1+.3C2 =.14C2-.3C1×.8C2+.3C2=91-84+3=10 . Hence, required probability = 10 63 = 5 108 .
Related questions
0
votes
Q: A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is recorded.
A die has its six faces marked 0, 1, 1, 1, 6, 6. Two such dice are thrown together and the total score is ... of getting a total of 7? Select the correct answer from above options...
asked
Nov 21, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
cbse-class-10
0
votes
Q: Two dice are thrown together. What is the probability that the sum of the numbers on the two faces si neither divisible by 3 nor by 4?
Two dice are thrown together. What is the probability that the sum of the numbers on the two faces si neither divisible by 3 nor by 4? Select the correct answer from above options...
asked
Nov 15, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
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
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
0
votes
Q: A child has die whose six faces show the letters as given below: The die is thrown once. What is the probability of getting (i) A, (ii) D?
A child has die whose six faces show the letters as given below: The die is thrown once. What is the probability of ... A, (ii) D? Select the correct answer from above options...
asked
Nov 17, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
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 D1,D2,D3andD4 each having six faces numbered 1,2,3,4,5 and 6 are rolled simultaneously. The ... 216 D. 127 216 Select the correct answer from above options...
asked
Nov 16, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
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
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
0
votes
Q: Three dice are thrown at the same time. Find the probability of getting three two’s, if it is known that the sum of the numbers on the dice was six.
Three dice are thrown at the same time. Find the probability of getting three two's, if it is known that the sum ... the dice was six. Select the correct answer from above options...
asked
Nov 20, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
cbse-class-10
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
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
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
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
0
votes
Q: Two unbiased dice are thrown. Find the probability that the sum of the numbers appearing is 8 or greater, if 4 appears on the first die.
Two unbiased dice are thrown. Find the probability that the sum of the numbers appearing is 8 or greater, if 4 ... on the first die. Select the correct answer from above options...
asked
Nov 21, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
cbse-class-10
0
votes
Q: Two unbiased dice are thrown. Find the probability that the sum of the numbers appearing is 8 or greater, if 4 appears on the first die.
Two unbiased dice are thrown. Find the probability that the sum of the numbers appearing is 8 or greater, if 4 ... on the first die. Select the correct answer from above options...
asked
Nov 17, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
0
votes
Q: A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at
A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability ... 36 D. 1 36 Select the correct answer from above options...
asked
Nov 15, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-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
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
0
votes
Q: An unbiased die is rolled untill two consecutive trials result in even numbered faces. The probability that exactly six trials are required to get con
An unbiased die is rolled untill two consecutive trials result in even numbered faces. The probability that exactly six ... 1 6 )6 Select the correct answer from above options...
asked
Nov 16, 2021
in
Education
by
JackTerrance
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
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
probability-interview-questions
probability-interview-questions-answers
probability-multiple-choice-questions
probability-mcq-with-answers
probability-mcq
probability-questions
...