If a fair coin is tossed 3 times, what is the probability of getting at least two heads?
Answer Details
The probability of getting at least two heads can be found by considering all the possibilities where two or more heads are obtained, and adding up the probabilities of each of these outcomes.
There are 3 ways to get two heads: (H, H, T), (H, T, H), and (T, H, H). The probability of each of these outcomes is (1/2) * (1/2) * (1/2) = 1/8. So, the total probability of getting two heads is 3 * (1/8) = 3/8.
There is 1 way to get three heads: (H, H, H). The probability of this outcome is (1/2) * (1/2) * (1/2) = 1/8.
Therefore, the probability of getting at least two heads is (3/8) + (1/8) = 4/8 = 1/2, which is closest to 12.