Question

1. what is the probability of a person ordering juice and white bread with pastrami or turkey? write your probability in a simplified fraction.

Explanation:

Step1: Count total possible meals

From the tree diagram, there are 2 drink options, 3 bread options, 4 filling options. Total meals: $2 \times 3 \times 4 = 24$

Step2: Solve Question 2: Find favorable meals

Favorable: soda, rye bread, roast beef. This is 1 unique combination.
Probability: $\frac{\text{Favorable}}{\text{Total}} = \frac{1}{24}$

Step3: Solve Question3: Find favorable meals

First, identify meals with juice + white bread + (pastrami or turkey):

• Juice, white bread, pastrami: 1 meal
• Juice, white bread, turkey: 1 meal

Total favorable: $1 + 1 = 2$
Probability: $\frac{2}{24} = \frac{1}{12}$

Answer:

1. $\frac{1}{24}$
2. $\frac{1}{12}$