The probability of snow for each of the next three days is $\frac{3}{4}$. What is the probability that it will not snow at all during the next three days? Express your answer as a common fraction.
I know that the probability of an event not happening is the complement of the probability of the event happening, so I can subtract the probability of snow from 1 to get the probability of no snow. For example, the probability of no snow on the first day is $1 - \frac{3}{4} = \frac{1}{4}$. Similarly, the probability of no snow on the second and third days are also $\frac{1}{4}$. Now, to find the probability of no snow on all three days, I need to multiply the probabilities of no snow on each day, because they are independent events. So, the probability of no snow on all three days is $\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4} = \frac{1}{64}$.

