Josh is ordering an ice cream dessert. He must order a size, a flavor of ice cream, and a topping. There are 3 sizes, 2 flavors, and 2 toppings to choose from. How many different ice cream desserts could he order?

Step-by-step explanation:

So if there are 3 sizes, 2 flavors and 2 Toppings to choose from, then there are

3 * 2 * 2 possible combinations

For example:

S = 3 sizes

F = 2 flavours

T = 2 toppings

Then there are 3 * 2 * 2 = 12 possible combinations

Work Shown:

A = event that the person has math degree

B = event that the person has a computer science degree

P(A) = 0.23, since 23% of the people have a math degree

P(B) = 0.31, similar reasoning as above, just different number

P(A and B) = 0.07

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.23 + 0.31 - 0.07

P(A or B) = 0.47

The decimal value 0.47 then converts to 47% after moving the decimal 2 spots to the right.

There's a 47% chance that we pick someone who has a math degree or a computer science degree (or both).

It might help to set up a venn diagram to see why that formula above works.