A box contains 12 red, 8 blue, and 5 green marbles. What is the probability of drawing a blue marble?

A box contains 12 red, 8 blue, and 5 green marbles. What is the probability of drawing a blue marble?

• A. 8/25
• B. 8/30
• C. 7/25
• D. 8/18

Answer: (A)

Probability is the ratio of favorable outcomes to the total number of outcomes. There are 12 red, 8 blue, and 5 green marbles, so the total is 25. The number of favorable outcomes (blue marbles) is 8. Therefore the probability of drawing a blue marble is 8/25. This matches the given counts, since the total is 25 and blue marbles are 8. The other fractions would require a different total or a different count of blue marbles, so they don’t fit the actual box.

Probability is the ratio of favorable outcomes to the total number of outcomes. There are 12 red, 8 blue, and 5 green marbles, so the total is 25. The number of favorable outcomes (blue marbles) is 8. Therefore the probability of drawing a blue marble is 8/25. This matches the given counts, since the total is 25 and blue marbles are 8. The other fractions would require a different total or a different count of blue marbles, so they don’t fit the actual box.