Final answer:
To find the probability of 6 tails in a row, multiply the probability of a tail on a single flip (1/2) six times, resulting in a probability of 1/64.
Step-by-step explanation:
The probability of getting 6 tails in a row when flipping a fair coin involves calculating the chance of a tail on each individual flip and then multiplying these chances together for the sequence. Since the probability of tails on one flip is 1/2, we multiply this probability six times for six flips: (1/2) × (1/2) × (1/2) × (1/2) × (1/2) × (1/2) = 1/64. Therefore, the correct answer is D) 1/64.