AMSOC 26-003 Module A Practice Test

If two fair coins are flipped, what is the probability that at least one shows heads?

3/4 1/2 1/4 2/3

Correct Answer:

3/4

Explanation:

When two fair coins are flipped, there are four equally likely results: both heads, head then tail, tail then head, and both tails. “At least one head” includes all outcomes except the only all-tail result, so three of the four outcomes satisfy the condition. That gives a probability of 3/4. You can also see this by the complement: 1 minus the chance of no heads (both tails) is 1 - 1/4 = 3/4. The other numbers don’t fit because they don’t match the correct count of favorable outcomes out of four.

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