Final answer:
The probability of getting exactly two tails and one head when flipping a coin three times is 3/8, which is the sum of the probabilities of the three different sequences that result in this outcome (HTT, THT, TTH), each with a probability of 0.125.
Step-by-step explanation:
The probability of getting two tails and one head when flipping a coin three times can be calculated using the concept of combinations. There are three possible ways to get this outcome: HTT, THT, and TTH. Since the flips are independent, we multiply the individual probabilities for each flip. The probability of getting head (H) or tail (T) on any single flip is 0.5.
The probability for each of the sequences is (0.5) × (0.5) × (0.5) = 0.125. However, since there are three such sequences that satisfy the condition, we multiply this outcome probability by 3: 3 × 0.125 = 0.375 or 3/8, making the answer a. 3/8.