Question

what is the probability of randomly choosing a juice box? simplify first! enter the numerator.

Explanation:

Step1: Count the number of juice boxes

Looking at the image, we can see that there are 3 juice boxes (the ones with the orange labels and orange slices).

Step2: Count the total number of drink containers

Let's count all the containers:

• Juice boxes: 3
• Water bottles: 5 (the clear bottles with blue caps)
• Soda cans: 2 (the blue cans)

Total number of containers = 3 + 5 + 2 = 10

Step3: Determine the probability of choosing a juice box

The probability \( P \) of an event is given by the number of favorable outcomes (juice boxes) divided by the total number of possible outcomes (total containers). So, \( P(\text{juice box})=\frac{\text{Number of juice boxes}}{\text{Total number of containers}}=\frac{3}{10} \). The question asks for the numerator when the fraction is simplified (and \( \frac{3}{10} \) is already in simplest form), so the numerator is 3.

Answer:

3