Let's solve this step by step. We need to flip a fair coin twice and find all possible outcomes. Each flip can result in either heads or tails.
Now let's list all possible outcomes systematically. For two coin flips, we have four equally likely outcomes: HH, HT, TH, and TT. Each outcome has an equal probability of occurring.
Now we identify which outcomes are favorable for our event. We want both flips to result in heads. Looking at our four outcomes, only HH satisfies this condition. The other three outcomes - HT, TH, and TT - do not meet our criteria.
Now we can calculate the probability using the formula: probability equals favorable outcomes divided by total outcomes. We have 1 favorable outcome out of 4 total outcomes, so the probability is 1 divided by 4, which equals 0.25 or 25 percent.
To summarize our solution: when flipping a fair coin twice, there are 4 equally likely outcomes. Only 1 of these outcomes gives us heads on both flips. Therefore, the probability of getting two heads is 1 out of 4, which equals 0.25 or 25 percent.