A bag contains 4 yellow and 6 purple marbles. If one marble is drawn, which statement is true about the probability of drawing a yellow marble?

A bag contains 4 yellow and 6 purple marbles. If one marble is drawn, which statement is true about the probability of drawing a yellow marble?

• A. 2/5
• B. 3/10
• C. 1/2
• D. 3/5

Answer: (A)

Probability is the ratio of favorable outcomes to all possible outcomes. Here, there are 4 yellow marbles out of 10 total marbles, so the chance of drawing a yellow is 4/10, which simplifies to 2/5. This matches the correct statement about the draw. The other fractions would require a different count of yellow marbles (for example, 3/10 would mean 3 yellows, 1/2 would mean 5 yellows, and 3/5 would mean 6 yellows), but the bag has only 4 yellow marbles.

Probability is the ratio of favorable outcomes to all possible outcomes. Here, there are 4 yellow marbles out of 10 total marbles, so the chance of drawing a yellow is 4/10, which simplifies to 2/5. This matches the correct statement about the draw. The other fractions would require a different count of yellow marbles (for example, 3/10 would mean 3 yellows, 1/2 would mean 5 yellows, and 3/5 would mean 6 yellows), but the bag has only 4 yellow marbles.