Different type of bread

Question

The chart below shows the different types of breads and sandwich fillings that Jack can choose from to make his lunch

 

Breads: Rye, roll, bagel, wheat

Sandwich filling: cream cheese, turkey, egg salad, tuna salad, ham

 

Jake selects 1 type of bread and 1 type of sandwich filling at random. What is the probability he chooses a bagel with cream cheese?

Answer 1

There are 4 types of bread, so the probability of choosing a bagel is 1/4.

 

There are 5 types of filling, so the probability of choosing cream cheese is 1/5.

 

Since the choices of bread and filling are independent, you multiply the two probabilities together to get the probability of both happening.

 

1/4 * 1/5 = 1/20, so the probability of getting a bagel and cream cheese is 1/20.

 

Answer 2

I believe he has a 1/20 chance of choosing a bagel with cream cheese. The formula is as follows

 

     5!

_______

  4!(5-4)!