Question

1. a shop sells smoothies and juices. they are both available in 3 flavors - strawberry, peach, & apple. what is the probability of choosing a random item on the menu and getting something peach flavored?

Explanation:

Step1: Determine total items

The shop sells 2 types (smoothies, juices) and 3 flavors each. So total items = \(2\times3 = 6\).

Step2: Determine peach - flavored items

Each type (smoothie, juice) has a peach - flavored option, so peach - flavored items = 2.

Step3: Calculate probability

Probability is the number of favorable outcomes over total outcomes. So probability \(=\frac{\text{peach - flavored items}}{\text{total items}}=\frac{2}{6}=\frac{1}{3}\).

Answer:

\(\frac{1}{3}\)