Class 9 Exam > Class 9 Questions > Two coins are tossed simultaneously. Then, th...
Start Learning for Free
Two coins are tossed simultaneously. Then, the probability of getting at most one head is
- a)2/3
- b)3/4
- c)1/4
- d)1/3
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two coins are tossed simultaneously. Then, the probability of getting ...
Understanding the Problem
When two coins are tossed simultaneously, we want to find the probability of getting at most one head. "At most one head" means we can have either zero heads or one head.
Possible Outcomes
When tossing two coins, the possible outcomes are:
- HH (two heads)
- HT (one head, one tail)
- TH (one head, one tail)
- TT (two tails)
So, the complete sample space is: {HH, HT, TH, TT}, which consists of 4 outcomes.
Favorable Outcomes
Now, let's identify the outcomes where we have at most one head:
- 0 Heads: TT
- 1 Head: HT, TH
Thus, the favorable outcomes for at most one head are: {TT, HT, TH}. This gives us a total of 3 favorable outcomes.
Calculating Probability
Probability is calculated using the formula:
Probability = (Number of Favorable Outcomes) / (Total Number of Outcomes)
Here, we have:
- Number of Favorable Outcomes = 3 (TT, HT, TH)
- Total Number of Outcomes = 4 (HH, HT, TH, TT)
So, the probability of getting at most one head is:
Probability = 3 / 4
Conclusion
Therefore, the probability of getting at most one head when two coins are tossed is:
3/4
Thus, the correct answer is option 'B'.
When two coins are tossed simultaneously, we want to find the probability of getting at most one head. "At most one head" means we can have either zero heads or one head.
Possible Outcomes
When tossing two coins, the possible outcomes are:
- HH (two heads)
- HT (one head, one tail)
- TH (one head, one tail)
- TT (two tails)
So, the complete sample space is: {HH, HT, TH, TT}, which consists of 4 outcomes.
Favorable Outcomes
Now, let's identify the outcomes where we have at most one head:
- 0 Heads: TT
- 1 Head: HT, TH
Thus, the favorable outcomes for at most one head are: {TT, HT, TH}. This gives us a total of 3 favorable outcomes.
Calculating Probability
Probability is calculated using the formula:
Probability = (Number of Favorable Outcomes) / (Total Number of Outcomes)
Here, we have:
- Number of Favorable Outcomes = 3 (TT, HT, TH)
- Total Number of Outcomes = 4 (HH, HT, TH, TT)
So, the probability of getting at most one head is:
Probability = 3 / 4
Conclusion
Therefore, the probability of getting at most one head when two coins are tossed is:
3/4
Thus, the correct answer is option 'B'.
Free Test
FREE
| Start Free Test |
Community Answer
Two coins are tossed simultaneously. Then, the probability of getting ...
I think the ans is c
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer?
Question Description
Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer?.
Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two coins are tossed simultaneously. Then, the probability of getting at most one head isa)2/3b)3/4c)1/4d)1/3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 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