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Two unbiased coins are tossed. The probability of obtaining one head and one tail is
- a)¼
- b)2/4
- c)¾
- d)none
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two unbiased coins are tossed. The probability of obtaining one head a...
To find the probability of obtaining one head and one tail when two unbiased coins are tossed, follow these steps:
- Determine the total number of possible outcomes:When two unbiased coins are tossed, each coin can land as either heads (H) or tails (T). The possible outcomes are:
- HH
- HT
- TH
- TT
Thus, there are a total of 4 possible outcomes. - Determine the favorable outcomes:The favorable outcomes for getting one head and one tail are:
- HT
- TH
There are 2 favorable outcomes. - Calculate the probability:The probability is the number of favorable outcomes divided by the total number of possible outcomes:
Most Upvoted Answer
Two unbiased coins are tossed. The probability of obtaining one head a...
Explanation:
When two unbiased coins are tossed, there are four possible outcomes: HH, HT, TH, and TT. Out of these, only two outcomes have one head and one tail: HT and TH.
Therefore, the probability of obtaining one head and one tail is the ratio of the number of favorable outcomes to the total number of possible outcomes.
Solution:
Number of favorable outcomes: 2 (HT and TH)
Total number of possible outcomes: 4 (HH, HT, TH, and TT)
Probability of obtaining one head and one tail:
= Number of favorable outcomes / Total number of possible outcomes
= 2 / 4
= 1/2
Hence, the correct answer is option B: 2/4.
When two unbiased coins are tossed, there are four possible outcomes: HH, HT, TH, and TT. Out of these, only two outcomes have one head and one tail: HT and TH.
Therefore, the probability of obtaining one head and one tail is the ratio of the number of favorable outcomes to the total number of possible outcomes.
Solution:
Number of favorable outcomes: 2 (HT and TH)
Total number of possible outcomes: 4 (HH, HT, TH, and TT)
Probability of obtaining one head and one tail:
= Number of favorable outcomes / Total number of possible outcomes
= 2 / 4
= 1/2
Hence, the correct answer is option B: 2/4.
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Community Answer
Two unbiased coins are tossed. The probability of obtaining one head a...
Total outcomes = ( hh,tt,ht,th)=4
one head =1/4 and (+) one tail = 1/4
1/4 + 1/4 = 2/4
one head =1/4 and (+) one tail = 1/4
1/4 + 1/4 = 2/4
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Two unbiased coins are tossed. The probability of obtaining one head and one tail isa)¼b)2/4c)¾d)noneCorrect answer is option 'B'. Can you explain this answer?
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