Question

A bag holds 13 marbles. 6 are blue, 2 are green, and 5 are red. you select a marble from the bag. what is the probability that the marble you select is either blue or green
a. 5/26
b. 8/13
c. 5/13
d. 8/26

Answer 1

Answer:

$\boxed {\boxed {\sf B. \ \frac{8}{13} }}$

Step-by-step explanation:

Probability is found by dividing the number of favorable outcomes by the total number of outcomes.

$P= \frac{favorable \ outcomes}{total \ outcomes}$

For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.

The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).

$P(blue \ or \ green) = \frac{8}{13}$

This fraction cannot be reduced, so the probability of selecting a blue or green marble is 8/13.