A deli prepares sandwiches with one type of bread (white or wheat), one type of meat (ham, turkey, or chicken) and one type of cheese (cheddar or swiss). The tree diagram for types of sandwiches is shown below. What is the probability of choosing ham and swiss at random?

0.1667 = 16.67%

Step-by-step explanation:

Ham is inside the group of meat, which has 3 different options of meat. So, the probability of choosing ham is 1 over 3 (that is, 1/3)

Swiss is inside the group of cheese, which has 2 different options of meat. So, the probability of choosing ham is 1 over 2 (that is, 1/2)

The probability of choosing ham and swiss at random will be the product of these probabilities above, so:

Probability = (1/3) * (1/2) = 1/6 = 0.1667 = 16.67%