Louberto would like to predict the number of acceptances into college. At each college he applies to, he can either be accepted (A) or rejected (R). Louberto plans on applying to 5 colleges initially. If he is accepted by fewer than 3 colleges, he will apply to an additional 5 colleges. The probability of acceptance is .40 at all of the colleges.  Is the number of acceptances distributed binomial?

Alex decides to go to a casino and play his 3 favorite slot machines. He knows from experience that his chances for coming out ahead and having won money after playing 20 times on a machine is 0.42, 0.55, and0.59 for the three slot machines. Find the probability that after playing each machine 20 times that he will have won money on at least one slot machine. Your answer should be to 4 decimal places.

Bianca buys a bag of cookies that contains 9 chocolate chip cookies, 6 peanut butter cookies, 6 sugar cookies and 7 oatmeal cookies. What is the probability that Bianca randomly selects an oatmeal cookie from the bag, eats it, then randomly selects a chocolate chip cookie? Express you answer as a reduced fraction.

Whitney wants to practice shooting for basketball.  Her mom will give her $20 if she makes 3 free throws in a row, $10 for 2 free throws, and $5 for 1 free throw.  Whitney will pay her mom $10 for no free throws.  She normally scores 68% of the time. What is the probability that she makes all 3 free throws?  What is the probability that she only makes 2 free throws?  What is the probability that she only makes 1 free throw?  What is the expected value for how much money she can expect to make?