1) 120 students are signing up for classes. 80 of them are signing up for a Math class (M) and 50 of them are signing up for a Biology class (B). If 37 of them are signing up for both Math and Biology, how many are signing up for neither Math nor Biology. Hint:
It may help to draw the Venn diagram.

2) The odds for an event are 5:7. Find the probability of the event.

3)A company makes electronic gadgets. One out of every 5 gadgets is faulty, but the company does not know which ones are faulty
until a buyer complains. Suppose the company makes a $40 profit on the sale of any working gadget, but suffers a loss of
$100 for every faulty gadget because they have to repair the unit. Determine the expected long term average profit per
item. That is, find the expected value.

4)In a certain dice game two dice are rolled and players win if the sum of the dice is 2, 3 or 12. For a $5 bet, winning players receive $35 and get their bet back. Determine the expected value to a player of this game to the nearest cent.

5)Which of the following are true about two events A and B that can both occur? Choose all that are correct.