Question

A bag contains 4 blue marbles, 3 red marbles, and 3 yellow marbles. The probability of drawing a blue marble out of the bag is \( \frac{4}{10} \) or \( 40 \% \). How many of what color of marbles must

Answer 1

The bag contains 10 marbles in total, with 4 blue marbles, 3 red marbles, and 3 yellow marbles. Therefore, the probability of drawing a blue marble is
`\( (4)/(10) \)` or 40%.

Step-by-step explanation:

In this problem, the total number of marbles in the bag is 10 (4 blue + 3 red + 3 yellow). The probability of drawing a blue marble is the number of favorable outcomes (drawing a blue marble) divided by the total number of outcomes.

So, the probability of drawing a blue marble is
`\( (4)/(10) \)` or 40%. This is because there are 4 blue marbles, and the total number of marbles is 10.

To calculate probability, you use the formula:

`\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]`

In this case, the number of favorable outcomes is the number of blue marbles (4), and the total number of outcomes is the total number of marbles (10). Therefore, the probability of drawing a blue marble is
`\( (4)/(10) \)` or 40%.

Understanding probability is crucial in analyzing and predicting outcomes in various scenarios. It provides a mathematical framework to assess the likelihood of events occurring.