Final answer:
The probability of flipping a coin six times and getting three heads in a row, followed by three tails, is 1/64.
Step-by-step explanation:
To find the probability of flipping a coin six times and getting three heads in a row, followed by three tails, we need to determine the total number of possible outcomes. Since each coin flip has two possible outcomes (heads or tails), there are a total of 2^6 = 64 possible outcomes when flipping a coin six times.
Out of these 64 outcomes, there is only one specific outcome that meets the conditions of three heads in a row, followed by three tails. Therefore, the probability of getting this specific outcome is 1 out of 64.
So, the correct answer is D. 1/64.