In: Statistics and Probability
1. Consider the following game: An urn contains 20 white balls and 10 black balls. If you draw a white ball, you get $1, but if you draw a black ball, you loose $2. (a) You draw 6 balls out of the urn. What is the probability that you will win money? (b) How many balls should you draw in order to maximize the probability of winning? Hint: Use a computer.