Question

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

Explanation:

Step1: Identify total outcomes

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

Step2: Count favorable outcomes

From the table, sums less than 8 are: 4 (2+2), 6 (2+4, 4+2). That's 3 favorable outcomes.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$
$\text{Probability} = \frac{3}{16}$

Answer:

$\frac{3}{16}$