Question

at pizza parlor, a customer has a choice of pizza toppings and sizes. The topping choices are ham, pepperoni, and black olive. The size choices are medium and extra-large. a. Make a tree that shows all of the possible one-topping pizzas. b. find the probability of randomly selecting a extra-large black olive pizza.

Answer 1

I will not do the whole thing, but I will help you get started

to make the tree, I'll start with 3 for the 3 topping choices. I'll label them H, P, and B for ham, pepperoni, and black olive

Answer 2

now, starting on the H-branch, there are two sizes, medium and x-large. I'll label them as M and XL like so:



now, that's all the possible one-topping size combos involving ham. repeat this process for the p-branch and the b-branch to complete the tree

Answer 3

for part b, count the total # of combinations of one topping and one size (how many branches are there?)

then, since XL-black olive is only 1 combination, the probability is 1/(total # of combinations)

Answer 4

fine @Mercury this is a complex problem