Susie has a bag of marbles containing 3 Red, 7 Green, and 10 Blue marbles. In this problem,

the phrase with replacement means that marbles are drawn one at a time and after the draw it is replaced back into the bag before picking the next marble. The phrase without replacement means that each marble is drawn and held onto until all marbles are drawn.

1. What is the probability of picking 5 marbles and getting at least one red marble? Calculate the probability (a) with replacement, and (b) without replacement.

2. Pick 8 marbles: 4 green and 4 blue. Calculate the probability (a) with replacement and (b) without replacement.

3. If Susie sells you 7 marbles chosen randomly without replacement, what are your chances of getting at least six marbles of the same color?

4. Susie sells the marbles for 5 cents each. For 5 cents, shell let you pick out a random marble out of the bag. (There are no taksie-backsies - i.e., no replacements!) How much would you have to pay Susie to be sure of getting at least 6 marbles of the same color?