The weather forecast calls for a
70
70% chance that it rains on Friday,
60
60% chance that it rains on Saturday and
20
20% chance that it rains on Sunday. Assume that the weather is independent of each other.
What is the probability that it rains all 3 days? Round your answer to the nearest tenth of a percen
To find the probability that it rains all 3 days, we multiply the individual probabilities of rain on each day.
P(rain on Friday and Saturday and Sunday) = P(rain on Friday) * P(rain on Saturday) * P(rain on Sunday)
P(rain on Friday and Saturday and Sunday) = 0.7 * 0.6 * 0.2
P(rain on Friday and Saturday and Sunday) = 0.084
Therefore, the probability that it rains all 3 days is 8.4%.