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If an unbiased coin is tossed twice, the probability of obtaining at least one tail is
- a)0.25
- b)0.50
- c)0.75
- d)1.00
Correct answer is option 'C'. Can you explain this answer?
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Solution:
When an unbiased coin is tossed, the possible outcomes are heads (H) and tails (T). The probability of getting a head or a tail in one toss is 1/2.
Now, when the coin is tossed twice, there are four possible outcomes: HH, HT, TH, and TT.
Out of these four outcomes, only one outcome (HH) does not have a tail. Therefore, the probability of getting at least one tail is:
P(at least one tail) = 1 - P(no tail)
To calculate P(no tail), we need to find the probability of getting a head in both tosses, which is:
P(no tail) = P(HH) = 1/2 x 1/2 = 1/4
Therefore,
P(at least one tail) = 1 - P(no tail) = 1 - 1/4 = 3/4 = 0.75
Hence, the correct answer is option C, 0.75.
When an unbiased coin is tossed, the possible outcomes are heads (H) and tails (T). The probability of getting a head or a tail in one toss is 1/2.
Now, when the coin is tossed twice, there are four possible outcomes: HH, HT, TH, and TT.
Out of these four outcomes, only one outcome (HH) does not have a tail. Therefore, the probability of getting at least one tail is:
P(at least one tail) = 1 - P(no tail)
To calculate P(no tail), we need to find the probability of getting a head in both tosses, which is:
P(no tail) = P(HH) = 1/2 x 1/2 = 1/4
Therefore,
P(at least one tail) = 1 - P(no tail) = 1 - 1/4 = 3/4 = 0.75
Hence, the correct answer is option C, 0.75.
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If an unbiased coin is tossed twice, the probability of obtaining at least one tail isa)0.25b)0.50c)0.75d)1.00Correct answer is option 'C'. Can you explain this answer?
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If an unbiased coin is tossed twice, the probability of obtaining at least one tail isa)0.25b)0.50c)0.75d)1.00Correct answer is option 'C'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If an unbiased coin is tossed twice, the probability of obtaining at least one tail isa)0.25b)0.50c)0.75d)1.00Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If an unbiased coin is tossed twice, the probability of obtaining at least one tail isa)0.25b)0.50c)0.75d)1.00Correct answer is option 'C'. Can you explain this answer?.
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