ovie-Anchovie-Anchovie. 1. What is the probability that you

Advanced Engineering Mathematics
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Discrete Mathematics

Problem 1 

At Luigi’s House of Random Pizza, you can order only one thing: A medium pizza with three random topping layers chosen by Luigi himself. Luigi has 5 different toppings: Pepperoni, mushroom, Anchovie, Onion, and Pepper. For example, you might get: Pepperoni-Onion-Mushroom, or maybe Mushroom-Pepperoni-Onion (the order of the layers matters to Luigi) or if you are especially lucky then Anchovie-Anchovie-Anchovie.


1. What is the probability that you get a pizza with either two or three distinct toppings? (For example, Mushroom-Onion-Mushroom or Pepper-Onion-Mushroom.) Reduce your answer to a decimal.


2. What is the probability that Luigi gives you a pizza with exactly two distinct toppings (occurring in any order)? Reduce your answer to a decimal.

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