CAT Exam > CAT Questions > Three dice are rolled simultaneously. What i...
Start Learning for Free
Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?
- a)5/108
- b)6/216
- c)7/216
- d)2/108
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Three dice are rolled simultaneously. What is the probability of gett...
Total number of ways = 6 6 6 = 63 = 216
Number of ways to get a total more than 15:
556
565
566
656
655
665
666
664
646
466
Number of ways to get a total more than 15 = 10
Probability = 10/216 = 5/108
Free Test
FREE
| Start Free Test |
Community Answer
Three dice are rolled simultaneously. What is the probability of gett...
Calculating the Probability of Getting a Sum More Than 15 when Rolling Three Dice
To find the probability of getting a sum more than 15 when rolling three dice simultaneously, we first need to determine the total number of outcomes when rolling three dice. Each die has 6 faces, so the total number of outcomes when rolling three dice is 6 * 6 * 6 = 216.
Identifying the Favorable Outcomes
Next, we need to identify the favorable outcomes that result in a sum more than 15. These outcomes are:
- (6, 6, 4)
- (6, 5, 5)
- (5, 6, 5)
- (5, 5, 6)
- (6, 6, 5)
- (6, 5, 6)
- (5, 6, 6)
There are a total of 7 favorable outcomes.
Calculating the Probability
The probability of getting a sum more than 15 is given by the ratio of favorable outcomes to total outcomes:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Probability = 7 / 216
Probability = 5/108
Therefore, the probability of getting a sum more than 15 when rolling three dice simultaneously is 5/108, which corresponds to option 'A'.
To find the probability of getting a sum more than 15 when rolling three dice simultaneously, we first need to determine the total number of outcomes when rolling three dice. Each die has 6 faces, so the total number of outcomes when rolling three dice is 6 * 6 * 6 = 216.
Identifying the Favorable Outcomes
Next, we need to identify the favorable outcomes that result in a sum more than 15. These outcomes are:
- (6, 6, 4)
- (6, 5, 5)
- (5, 6, 5)
- (5, 5, 6)
- (6, 6, 5)
- (6, 5, 6)
- (5, 6, 6)
There are a total of 7 favorable outcomes.
Calculating the Probability
The probability of getting a sum more than 15 is given by the ratio of favorable outcomes to total outcomes:
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Probability = 7 / 216
Probability = 5/108
Therefore, the probability of getting a sum more than 15 when rolling three dice simultaneously is 5/108, which corresponds to option 'A'.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer?
Question Description
Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer?.
Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer?.
Solutions for Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Three dice are rolled simultaneously. What is the probability of getting a sum more than 15?a)5/108b)6/216c)7/216d)2/108Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT 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