Question

A local pizza parlor has the following list of toppings available for selection. The parlor is running a special to encourage patrons to try new combinations of toppings. They list all possible two-topping pizzas (2 distinct toppings) on individual cards and give away a free pizza every hour to a lucky winner. Find the probability that the first winner randomly selects the card for the pizza topped with chicken fingers and bacon Express your answer as a fraction in lowest terms or a decimal rounded to the Pizza Toppings Green Peppers, Onions, Kalamata Olives, Sausage, Mushrooms, Black Olives, Pepperoni, Spicy Italian Sausage, Roma Tomatoes, Green Olives, Ham. Grilled chicken, jalapeno Peppers, Banana Peppers, Beef Chicken Fingers, Red Peppers, Spinach, Bacon, Anchovies, Artichoke Hearts, Sundred Tomatoes

Answer 1

The sample space for this is the total possible number of combinations of 2 toppings from 22 toppings, That is 231 cards, the probability of the winner picking one of these cards is 1/231 or 0.004329

`C_2^(22)=\text{ 231 Cards}`

The answer is therefore 0.004329 or 1/231