Question

Your having lunch at Taco Bell. You have your choice of a taco,burrito or Mexican pizza. You can choose between rice and beans. Draw a tree diagram to show a sample space.

Answer 1

Incase you needed a pic

Answer 2

Let T be the taco, B the burrito, MP the mexican pizza, R the rice, and N the beans.

For the main course we can have the first three.

----- T

------ B

-------MP

Each main course comes with the two sides. So an R branch and a B branch go to each of the taco, burrito, or pizza.

-----T---------R or N.

We expand it to

--------T-----------R

---------------------N

And we repeat it for the rest.

Thus, the tree diagram is

----- T --------R

-----------------N

-----B---------R

-----------------N

----MP--------R

----------------N