What is the probability that a fair coin, flipped twice, will land heads both times?

To find the probability of this specific outcome, we need to calculate the probability of getting heads on the first flip and then getting heads again on the second flip. Since each coin flip is an independent event, we can multiply the individual probabilities together.

The probability of getting heads on a fair coin flip is 1/2 (or 0.5), as there are only two equally likely outcomes: heads or tails.

To calculate the probability of getting heads on both flips, we multiply the probability of the first flip (1/2) by the probability of the second flip (also 1/2):

(1/2) * (1/2) = 1/4 = 0.25

So the probability that a fair coin, flipped twice, will land heads both times is 0.25, or 25%.