Quant Exam > Quant Questions > Two dice are thrown together. Then, the proba...
Start Learning for Free
Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.
- a)13/36
- b)1/13
- c)1/4
- d)5/12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two dice are thrown together. Then, the probability that the sum of nu...
The Correct Answer is D: 5/12
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
Two dice are thrown together. Then, the probability that the sum of nu...
Required event: The sum of numbers on both the fair dice should be a prime number less than 8.Possibilities are: 2, 3, 5 and 7.
There is only one way of getting a sum of 2, that is, getting the number 1 on both the dice. Let's represent it as (1,1)
There are 2 ways of getting a sum of 3:
1. Getting the number 1 on the first die and the number 2 on the second, that is (1,2)
2.Getting the number 2 on the first die and the number 1 on the second, that is (2,1)
Similarly, for getting a sum of 5, the 4 possible outcomes are: (1,4),(4,1),(2,3),(3,2)
For getting a sum of 7, the 6 possible outcomes are: (1,6),(6,1),(2,5),(5,2),(3,4),(4,3).
Total number of probable outcomes = sum of number of probable outcomes for getting a sum of 2,3,5 and 7 respectively = 1+2+4+6=13
Total number of outcomes when 2 fair dice are thrown =36
=> required probability = 13/36. Option D.
There is only one way of getting a sum of 2, that is, getting the number 1 on both the dice. Let's represent it as (1,1)
There are 2 ways of getting a sum of 3:
1. Getting the number 1 on the first die and the number 2 on the second, that is (1,2)
2.Getting the number 2 on the first die and the number 1 on the second, that is (2,1)
Similarly, for getting a sum of 5, the 4 possible outcomes are: (1,4),(4,1),(2,3),(3,2)
For getting a sum of 7, the 6 possible outcomes are: (1,6),(6,1),(2,5),(5,2),(3,4),(4,3).
Total number of probable outcomes = sum of number of probable outcomes for getting a sum of 2,3,5 and 7 respectively = 1+2+4+6=13
Total number of outcomes when 2 fair dice are thrown =36
=> required probability = 13/36. Option D.
Community Answer
Two dice are thrown together. Then, the probability that the sum of nu...
Solution:
Finding the Sample Space
The sample space S of rolling two dice is 6 * 6 = 36.
Finding the Event Space
Our event E is "getting a prime number less than 8." The prime numbers less than 8 are 2, 3, 5, and 7. We can list all the possible outcomes that satisfy this event:
{(2,1),(2,3),(2,5),(3,2),(3,4),(3,6),(4,3),(4,5),(5,2),(5,4),(5,6),(6,3),(6,5)}
So the event space E is {(2,1),(2,3),(2,5),(3,2),(3,4),(3,6),(4,3),(4,5),(5,2),(5,4),(5,6),(6,3),(6,5)} and its size is 13.
Finding the Probability
The probability of an event E is the size of E divided by the size of S, or P(E) = |E| / |S|.
So the probability of rolling two dice and getting a prime number less than 8 is:
P(E) = |E| / |S| = 13 / 36
Therefore, the correct answer is option D, 13/36.
Finding the Sample Space
The sample space S of rolling two dice is 6 * 6 = 36.
Finding the Event Space
Our event E is "getting a prime number less than 8." The prime numbers less than 8 are 2, 3, 5, and 7. We can list all the possible outcomes that satisfy this event:
{(2,1),(2,3),(2,5),(3,2),(3,4),(3,6),(4,3),(4,5),(5,2),(5,4),(5,6),(6,3),(6,5)}
So the event space E is {(2,1),(2,3),(2,5),(3,2),(3,4),(3,6),(4,3),(4,5),(5,2),(5,4),(5,6),(6,3),(6,5)} and its size is 13.
Finding the Probability
The probability of an event E is the size of E divided by the size of S, or P(E) = |E| / |S|.
So the probability of rolling two dice and getting a prime number less than 8 is:
P(E) = |E| / |S| = 13 / 36
Therefore, the correct answer is option D, 13/36.
|
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer?
Question Description
Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer?.
Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer?.
Solutions for Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two dice are thrown together. Then, the probability that the sum of numbers appearing on them is a prime number, is8.a)13/36b)1/13c)1/4d)5/12Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup