Question

1. juliana spins the spinner two times. she determines the sum of the two numbers. calculate p(sum < 8).

Explanation:

Step1: List total possible outcomes

The spinner has 4 equal sections (2,4,6,8). Spinning twice gives $4 \times 4 = 16$ total outcomes.

Step2: Identify sums less than 8

List all pairs and their sums:

• (2,2): $2+2=4$
• (2,4): $2+4=6$
• (4,2): $4+2=6$

There are 3 favorable outcomes.

Step3: Calculate probability

Probability = $\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}$
$\text{Probability} = \frac{3}{16}$

Answer:

$\frac{3}{16}$