Beck is allergic to peanuts. At a large dinner party one evening, he notices that the cheesecake options on the dessert table contain the flavors: 10 slices of chocolate,12 slices of caramel, 12 slices of peanut butter chocolate, and 8 slices of strawberry. The desserts are served to the guests at random.  what is the probability that becks cheesecake contains peanuts? what is the probability that becks dessert does not contain chocolate?

Evan is ordering dessert, and he wants the fudge pie. The waitress tells him that he can have up to four toppings: ice cream, chocolate sauce, whipped cream, and a cherry. Since he cannot decide how many of the toppings he wants, he tells the waitress to surprise him. If the waitress randomly chooses which toppings to add, what is the probability that Evan gets just chocolate sauce, and a cherry.

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)

Harold,xerxes, Regina,shaindel,Murray,Norah and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that xeres arrives first and Regina arrives last?