CAT Exam > CAT Questions > If 8 coins are tossed, what is the chance tha...
Start Learning for Free
If 8 coins are tossed, what is the chance that one and only one will turn up Head?
- a)1/16
- b)3/35
- c)3/32
- d)1/32
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If 8 coins are tossed, what is the chance that one and only one will t...
Understanding the Problem
When tossing 8 coins, we want to calculate the probability of getting exactly 1 Head (H) and 7 Tails (T).
Calculating the Total Outcomes
- Each coin has 2 possible outcomes: H or T.
- Therefore, for 8 coins, the total number of outcomes is:
- 2^8 = 256.
Calculating Favorable Outcomes
- We need to determine how many ways we can get exactly 1 Head among the 8 coins.
- The position of the single Head can be chosen in:
- C(8, 1) = 8 ways (where C(n, k) represents combinations of n items taken k at a time).
Calculating the Probability
- The favorable outcomes for getting 1 Head and 7 Tails:
- There are 8 ways to choose which coin shows Head.
- Thus, the number of favorable outcomes is 8.
Final Probability Calculation
- The probability (P) of getting exactly 1 Head is given by the formula:
- P = (Number of favorable outcomes) / (Total outcomes)
- P = 8 / 256
- P = 1 / 32.
Conclusion
The chance that one and only one coin will turn up Heads when tossing 8 coins is indeed:
- Option D: 1/32.
When tossing 8 coins, we want to calculate the probability of getting exactly 1 Head (H) and 7 Tails (T).
Calculating the Total Outcomes
- Each coin has 2 possible outcomes: H or T.
- Therefore, for 8 coins, the total number of outcomes is:
- 2^8 = 256.
Calculating Favorable Outcomes
- We need to determine how many ways we can get exactly 1 Head among the 8 coins.
- The position of the single Head can be chosen in:
- C(8, 1) = 8 ways (where C(n, k) represents combinations of n items taken k at a time).
Calculating the Probability
- The favorable outcomes for getting 1 Head and 7 Tails:
- There are 8 ways to choose which coin shows Head.
- Thus, the number of favorable outcomes is 8.
Final Probability Calculation
- The probability (P) of getting exactly 1 Head is given by the formula:
- P = (Number of favorable outcomes) / (Total outcomes)
- P = 8 / 256
- P = 1 / 32.
Conclusion
The chance that one and only one coin will turn up Heads when tossing 8 coins is indeed:
- Option D: 1/32.
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
|
|
Top Courses for CATView all
If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer?
Question Description
If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. 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 If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer?.
If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. 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 If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer?.
Solutions for If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. 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 If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer?, a detailed solution for If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If 8 coins are tossed, what is the chance that one and only one will turn up Head?a)1/16b)3/35c)3/32d)1/32Correct answer is option 'D'. 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup