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?
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.