Red has probability .30 and black has probability .70. What is the probability that patron will win all ten wagers if alternating between red and black on each wager? What would be the standard deviation?

Q1. Suppose that in a sample of 200 students, 120 are taking an English course, 110 are take a Mathematics course, and 60 are taking both Math and English. Suppose a student is randomly selected from this sample.

a. What is the probability that the student is not taking any Math course?

b. What is the probability that the student is taking English but not Math?

c. What is the probability that the student is taking Math but not English?

d. What is the probability that the student is taking at least one of these two courses?

e. What is the probability that the student is not taking any of these two courses?

f. What is the probability that the student is taking English given that he/she is taking Math?

g. What is the probability that the student is taking Math given that he/she is taking English?