Question

You're ordering a sandwich at the local deli, below is a tree diagram of the possible orders. What is the probability that your sandwich has turkey AND swiss cheese?

Answer 1

Explanation:

1. So there is two bread options but let's ignore that due every option being the same for both bread options.

2. So if you look there are three meat options meaning there is a one in three chance logical chance someone picks turkey (note when I say logical I mean that doesn't mean that this will be true in real life) and there is a one in two logical chance someone picks Swiss cheese.

3. So with a one in three chance logical meat option and a one two chance cheese option and.

4. Now knowing this it is simple math at this point as simple as
`(1)/(3)` x
`(1)/(2)`

5. 1 x 1 = 1 and 3 x 2 = 6

6. leading to
`(1)/(6)`