UPSC Exam > UPSC Questions > Two dice are thrown at the same time and the ...
Start Learning for Free
Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is?
Most Upvoted Answer
Two dice are thrown at the same time and the product of numbers appear...
- **Calculating the Sample Space:**
- When two dice are thrown, the sample space consists of all possible outcomes, which is \(6 \times 6 = 36\) outcomes.
- **Calculating the Favorable Outcomes:**
- To find the probability that the product of the numbers lies between 8 and 13, we need to determine the favorable outcomes.
- The pairs of numbers that result in a product between 8 and 13 are (2,4), (3,3), and (4,2).
- **Determining the Number of Favorable Outcomes:**
- The pairs (2,4) and (4,2) have 2 possible arrangements each, resulting in a total of 4 arrangements.
- The pair (3,3) has only 1 arrangement.
- Therefore, there are a total of 5 favorable outcomes.
- **Calculating the Probability:**
- The probability of the product of the numbers lying between 8 and 13 is given by:
\[
\text{{Probability}} = \frac{{\text{{Number of Favorable Outcomes}}}}{{\text{{Total Number of Outcomes}}}}
\]
\[
\text{{Probability}} = \frac{5}{36}
\]
- **Final Answer:**
- The probability that the product of the numbers lies between 8 and 13 when two dice are thrown simultaneously is \( \frac{5}{36} \).
- When two dice are thrown, the sample space consists of all possible outcomes, which is \(6 \times 6 = 36\) outcomes.
- **Calculating the Favorable Outcomes:**
- To find the probability that the product of the numbers lies between 8 and 13, we need to determine the favorable outcomes.
- The pairs of numbers that result in a product between 8 and 13 are (2,4), (3,3), and (4,2).
- **Determining the Number of Favorable Outcomes:**
- The pairs (2,4) and (4,2) have 2 possible arrangements each, resulting in a total of 4 arrangements.
- The pair (3,3) has only 1 arrangement.
- Therefore, there are a total of 5 favorable outcomes.
- **Calculating the Probability:**
- The probability of the product of the numbers lying between 8 and 13 is given by:
\[
\text{{Probability}} = \frac{{\text{{Number of Favorable Outcomes}}}}{{\text{{Total Number of Outcomes}}}}
\]
\[
\text{{Probability}} = \frac{5}{36}
\]
- **Final Answer:**
- The probability that the product of the numbers lies between 8 and 13 when two dice are thrown simultaneously is \( \frac{5}{36} \).
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is?
Question Description
Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is?.
Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is?.
Solutions for Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? defined & explained in the simplest way possible. Besides giving the explanation of
Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is?, a detailed solution for Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? has been provided alongside types of Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? theory, EduRev gives you an
ample number of questions to practice Two dice are thrown at the same time and the product of numbers appearing on them is noted the probability that the product of the number lies between 8 and 13 is? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
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