For a certain weekend, the weatherman predicts that it will rain with a 40% probability on Saturday and a 50% probability on Sunday. Assuming these probabilities are independent, what is the probability that it rains over the weekend (that is, on at least one of the days)? Express your answer as a percentage.
I am stumped on this one :/
I keep getting 20 percent, but it is incorrect...
I think this might be correct
P (rain on Sat) * P(rain on Sun) = (.40) (.50) = .20
P(no rain on Sat ) * P(rain on Sun) = (1-.40) (.50) = (.60) (.50) = .30
P (rain on Sat) * P(no rain on Sun) = (.40) (1 -.50) = (.40) (.50) = .20
So P (rain on at least one day) = .20 + .30 + .20 = .70