Question

You are planning a three day trip to Seattle, Washington in October. Use the fact that on each day, it could be sunny or rainy, and that each day is equally likely to be sunny or rainy to answer the following question. What is the probability that it rains all three days.

Answer 1

Explanation:

Since the probability of rain on any given day is 0.5, and the weather on each day is independent of the others, we can calculate the probability of it raining all three days by multiplying the probabilities of rain on each individual day:

P(rain on day 1) x P(rain on day 2) x P(rain on day 3) = 0.5 x 0.5 x 0.5 = 0.125

Therefore, the probability of it raining all three days of your trip to Seattle in October is 0.125, or 12.5%.