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>>> 1:7 (or, if you like probability, 87.5%)

I disagree. There are four possible combinations of three tosses (where order does not matter):

HHH

HHT

HTT

TTT

Three of these combinations will show at least one head - only by throwing three tails will you not throw at least one head.

Thus, the probability of throwing at least one head in three flips is 75%.

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Q: What are the odds in favor of getting at least one head in 3 consecutive flips of a coin?
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What is the probability of getting heads more than once if you flip a coin three times?

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Related questions

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If you were to flip a coin 4 times what is the probability of getting heads at least one time?

As the question is "what is the probability of getting at least one head" the correct way to answer this is to ask what is the probability of not getting any heads and then subtract this from 1.The probability of not getting a head in 4 flips = 0.54 (i.e. 0.5 * 0.5 * 0.5 * 0.5) = 1/16.Therefore the probability of getting at least one head is 1 - 1/16 = 15/16.


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