If red has a probability of occurrence of .70 and black has a probability of occurrence of .30 and they are the only choices what is the probability that you pick the right color 10 out of 10 times and what is the standard deviation. I keep getting (.70*.50) + (.30*.50) = .50, IT THIS CORRECT AND WHAT IS STD DEV?

Question

If red has a probability of occurrence of .70 and black has a probability of occurrence of .30 and they are the only choices what is the probability that you pick the right color 10 out of 10 times and what is the standard deviation.  I keep getting (.70*.50) + (.30*.50) = .50, IT THIS CORRECT AND WHAT IS STD DEV?