The weather forecast calls for a 70% chance that it rains on Friday, 60% chance it rains on Saturday and 20% chance it rains on Sunday. Assume that the weather is dependent of each other. What is the probability that it rains all three?

Answer 1

To find the probability that it rains on all three days, we multiply the individual probabilities of each day.

P(rain all three days) = P(rain on Friday) * P(rain on Saturday) * P(rain on Sunday)
P(rain all three days) = 0.7 * 0.6 * 0.2
P(rain all three days) = 0.084 or 8.4%

Therefore, there is an 8.4% chance that it will rain on all three days.