A store sells there varieties of cheese chddar, Gouda, and swiss. Each variety of cheese is available in two different styles sheredded or sliced. How many possible outcomes for the variety and style of cheese are there?

You can decide to use a tree to help organize the information (see attached image). Note how there are 6 branches in the tree to represent the 6 combos

If there are a ton of combinations, then it would take a long time to list them all. Also, the tree would be a pain to create with so many branches. Fortunately, 6 is a small number to work with.

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-08-13T08:34:24+02:00

The possible outcomes for the variety and style of cheese are 6.

How many possible outcomes for the variety and style of cheese are there?

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given that:

By the use of the Fundamental Counting Principle formula.

a. 3 varieties of cheese: Cheddar, Gouda, and Swiss.

b. 2 styles of cheese: Shredded and Sliced.

The possible outcomes for the variety and style of cheese = a× b

= 3 × 2

6 possible outcomes.

These 6 Possible outcomes are listed below:

1) Cheddar cheese , Shredded

2) Cheddar cheese , Sliced

3) Gouda cheese , Shredded

4) Gouda cheese , Sliced

5) Swiss cheese , Shredded

6) Swiss cheese , Sliced

So, the possible outcomes for the variety and style of cheese are 6.

There are 6 branches in the tree to represent the 6 combos.

Learn more about probability here:

https://brainly.com/question/10782425

#SPJ5