A fair coin is flipped twice. What is the probability of getting at least one heads?

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Multiple Choice

A fair coin is flipped twice. What is the probability of getting at least one heads?

Explanation:
Think in terms of a complement. The only way to have no heads is if both flips come up tails, which happens with probability (1/2) × (1/2) = 1/4. So the chance of at least one head is 1 − 1/4 = 3/4. You can also see this by listing outcomes: the four equally likely results are HH, HT, TH, TT; the outcomes with at least one head are HH, HT, TH—three out of four, which is 3/4.

Think in terms of a complement. The only way to have no heads is if both flips come up tails, which happens with probability (1/2) × (1/2) = 1/4. So the chance of at least one head is 1 − 1/4 = 3/4. You can also see this by listing outcomes: the four equally likely results are HH, HT, TH, TT; the outcomes with at least one head are HH, HT, TH—three out of four, which is 3/4.

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