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Three coins are tossed. What is the probability of getting (i) 2 Tails and 1 Head
- a)1/4
- b)3/8
- c)2/3
- d)1/8
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Three coins are tossed. What is the probability of getting (i) 2 Tails...
You can calculate it, but for such a small number of possible combinations of independent events (8), let’s look at them all.
H = heads
T = tails
Possible events with equal probability (order matters):
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
Number with 2 heads: 3
Total number: 8
From the definition of probability, the number you are looking for is 3/8
H = heads
T = tails
Possible events with equal probability (order matters):
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
Number with 2 heads: 3
Total number: 8
From the definition of probability, the number you are looking for is 3/8
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Community Answer
Three coins are tossed. What is the probability of getting (i) 2 Tails...
Understanding the Problem
When tossing three coins, each coin has two possible outcomes: Heads (H) or Tails (T). We want to find the probability of getting exactly 2 Tails and 1 Head.
Total Outcomes
- Each coin toss has 2 outcomes.
- For three coins, the total number of outcomes is:
2 * 2 * 2 = 8.
Possible Outcomes
The possible combinations when tossing three coins are:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- TTT
Out of these, we identify the outcomes with exactly 2 Tails and 1 Head:
- HTT
- THT
- TTH
Thus, there are 3 favorable outcomes.
Calculating Probability
- The probability formula is:
Probability = (Number of Favorable Outcomes) / (Total Outcomes).
- Here, the number of favorable outcomes is 3 (HTT, THT, TTH) and the total outcomes are 8.
- Therefore, the probability is:
Probability = 3 / 8.
Conclusion
The probability of getting exactly 2 Tails and 1 Head when tossing three coins is indeed 3/8, which corresponds to option 'B'.
When tossing three coins, each coin has two possible outcomes: Heads (H) or Tails (T). We want to find the probability of getting exactly 2 Tails and 1 Head.
Total Outcomes
- Each coin toss has 2 outcomes.
- For three coins, the total number of outcomes is:
2 * 2 * 2 = 8.
Possible Outcomes
The possible combinations when tossing three coins are:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- TTT
Out of these, we identify the outcomes with exactly 2 Tails and 1 Head:
- HTT
- THT
- TTH
Thus, there are 3 favorable outcomes.
Calculating Probability
- The probability formula is:
Probability = (Number of Favorable Outcomes) / (Total Outcomes).
- Here, the number of favorable outcomes is 3 (HTT, THT, TTH) and the total outcomes are 8.
- Therefore, the probability is:
Probability = 3 / 8.
Conclusion
The probability of getting exactly 2 Tails and 1 Head when tossing three coins is indeed 3/8, which corresponds to option 'B'.
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Three coins are tossed. What is the probability of getting (i) 2 Tails and 1 Heada)1/4b)3/8c)2/3d)1/8Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Three coins are tossed. What is the probability of getting (i) 2 Tails and 1 Heada)1/4b)3/8c)2/3d)1/8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three coins are tossed. What is the probability of getting (i) 2 Tails and 1 Heada)1/4b)3/8c)2/3d)1/8Correct answer is option 'B'. Can you explain this answer?.
Three coins are tossed. What is the probability of getting (i) 2 Tails and 1 Heada)1/4b)3/8c)2/3d)1/8Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Three coins are tossed. What is the probability of getting (i) 2 Tails and 1 Heada)1/4b)3/8c)2/3d)1/8Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three coins are tossed. What is the probability of getting (i) 2 Tails and 1 Heada)1/4b)3/8c)2/3d)1/8Correct answer is option 'B'. Can you explain this answer?.
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