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

`\boxed {\boxed {\sf B. \ (8)/(13) }}`

Explanation:

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

`P= (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) = (8)/(13)`

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