Class 8 Exam > Class 8 Questions > Two dice are thrown simultaneously. Find the ...
Start Learning for Free
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.
- a)1/2
- b)1/4
- c)1/6
- d)1/8
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two dice are thrown simultaneously. Find the probability of getting an...
Solution:
When two dice are thrown, the possible outcomes are:
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6
2, 1
2, 2
2, 3
2, 4
2, 5
2, 6
3, 1
3, 2
3, 3
3, 4
3, 5
3, 6
4, 1
4, 2
4, 3
4, 4
4, 5
4, 6
5, 1
5, 2
5, 3
5, 4
5, 5
5, 6
6, 1
6, 2
6, 3
6, 4
6, 5
6, 6
There are 36 possible outcomes when two dice are thrown.
Finding the probability of getting an even number as the sum:
When two dice are thrown, the sum of the numbers on them can range from 2 to 12.
The possible sums that are even are 2, 4, 6, 8, 10, and 12.
Out of the 36 possible outcomes, there are 18 outcomes where the sum is even:
2 (1, 1)
4 (1, 3), (3, 1), (2, 2)
6 (1, 5), (5, 1), (2, 4), (4, 2), (3, 3)
8 (2, 6), (6, 2), (4, 4)
10 (4, 6), (6, 4), (5, 5)
12 (6, 6)
Therefore, the probability of getting an even number as the sum is 18/36 or 1/2.
Hence, option A is the correct answer.
When two dice are thrown, the possible outcomes are:
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6
2, 1
2, 2
2, 3
2, 4
2, 5
2, 6
3, 1
3, 2
3, 3
3, 4
3, 5
3, 6
4, 1
4, 2
4, 3
4, 4
4, 5
4, 6
5, 1
5, 2
5, 3
5, 4
5, 5
5, 6
6, 1
6, 2
6, 3
6, 4
6, 5
6, 6
There are 36 possible outcomes when two dice are thrown.
Finding the probability of getting an even number as the sum:
When two dice are thrown, the sum of the numbers on them can range from 2 to 12.
The possible sums that are even are 2, 4, 6, 8, 10, and 12.
Out of the 36 possible outcomes, there are 18 outcomes where the sum is even:
2 (1, 1)
4 (1, 3), (3, 1), (2, 2)
6 (1, 5), (5, 1), (2, 4), (4, 2), (3, 3)
8 (2, 6), (6, 2), (4, 4)
10 (4, 6), (6, 4), (5, 5)
12 (6, 6)
Therefore, the probability of getting an even number as the sum is 18/36 or 1/2.
Hence, option A is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
Two dice are thrown simultaneously. Find the probability of getting an...
Solution:
When two dice are thrown, the possible outcomes are:
{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
There are a total of 36 possible outcomes.
Getting an even sum:
To get an even sum, we need to get either two even numbers or two odd numbers.
Two even numbers:
When two even numbers are thrown, the possible outcomes are:
{(2,2), (2,4), (2,6),
(4,2), (4,4), (4,6),
(6,2), (6,4), (6,6)}
There are a total of 9 possible outcomes.
Two odd numbers:
When two odd numbers are thrown, the possible outcomes are:
{(1,3), (1,5), (3,1), (3,5), (5,1), (5,3)}
There are a total of 6 possible outcomes.
Therefore, the probability of getting an even sum is:
P(even sum) = P(two even numbers) + P(two odd numbers)
= 9/36 + 6/36
= 15/36
= 5/12
Hence, the given answer option 'A' i.e 1/2 is correct.
When two dice are thrown, the possible outcomes are:
{(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6),
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
There are a total of 36 possible outcomes.
Getting an even sum:
To get an even sum, we need to get either two even numbers or two odd numbers.
Two even numbers:
When two even numbers are thrown, the possible outcomes are:
{(2,2), (2,4), (2,6),
(4,2), (4,4), (4,6),
(6,2), (6,4), (6,6)}
There are a total of 9 possible outcomes.
Two odd numbers:
When two odd numbers are thrown, the possible outcomes are:
{(1,3), (1,5), (3,1), (3,5), (5,1), (5,3)}
There are a total of 6 possible outcomes.
Therefore, the probability of getting an even sum is:
P(even sum) = P(two even numbers) + P(two odd numbers)
= 9/36 + 6/36
= 15/36
= 5/12
Hence, the given answer option 'A' i.e 1/2 is correct.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer?
Question Description
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer?.
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer?.
Solutions for Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.a)1/2b)1/4c)1/6d)1/8Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup