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If an unbiased coin is tossed three times, what is the probability of getting more that one head?
  • a)
    1/8
  • b)
    3/8
  • c)
    1/2
  • d)
    1/3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If an unbiased coin is tossed three times, what is the probability of ...
Solution:

When an unbiased coin is tossed three times, the total number of possible outcomes is 2 x 2 x 2 = 8.

Let H denote a head and T denote a tail.

The possible outcomes of three tosses are:

1. HHH
2. HHT
3. HTH
4. THH
5. TTH
6. THT
7. HTT
8. TTT

Out of these 8 possible outcomes, 3 outcomes have more than one head.

The outcomes with more than one head are:

1. HHH
2. HHT
3. HTH
4. THH

Thus, the probability of getting more than one head is 4/8 or 1/2.

Hence, the correct option is (c) 1/2.
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Community Answer
If an unbiased coin is tossed three times, what is the probability of ...
Unbiased coin means that the probability of heads is the same as the probability of tails, each being 1/2

tossed thrice:
possibility
HHH, HHT, HTT, TTT, THH, TTH, HTH , THT =8 outcomes

getting more than one head: 4/8 = 1/2
therefore, correct answer is option 'C'
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If an unbiased coin is tossed three times, what is the probability of getting more that one head?a)1/8b)3/8c)1/2d)1/3Correct answer is option 'C'. Can you explain this answer?
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