Question

1. you have a jar of marbles in front of you with the following colors: 12 red, 17 blue, 8 yellow, and 13 white. suppose you had a larger jar of 250 marbles with the same ratio of colors. what is the probability of selecting either a red or white marble from the larger jar when one marble is selected at random?

$\frac{1}{2}$
$\frac{6}{25}$
$\frac{13}{50}$
$\frac{3}{5}$

Explanation:

Step1: Calculate total small jar marbles

$12 + 17 + 8 + 13 = 50$

Step2: Sum red + white marbles

$12 + 13 = 25$

Step3: Find color ratio

$\frac{25}{50} = \frac{1}{2}$

Step4: Apply ratio to large jar

Probability matches the ratio, since the proportion is identical.

Answer:

$\frac{1}{2}$ (Option A. $\frac{1}{2}$)