A game at the Casino Del Sol isPick-6. To play this game, a player pays $1.50 and draws 6 marbles at random with replacement from a bowl containing 20 green marbles and 80 red marbles. The player then receives a payoff based on the number of green marbles that they draw, as described in the table below:

# green

0

1

2

3

4

5

6

payoff

$0

$1

$2

$3

$10

$50

$1000

(a) What is the probability that a player draws more than 3 green marbles?

(b) What is theexpectednumber of green marbles that a player draws?

(c)What is the Casino'sexpectedprofit from each game ofPick-6?