Question

A jar contains 3 green marbles, 7 red marbles, and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that the marble will be white?

Answer 1

To find the probability of drawing a white marble from the jar, you need to follow these steps:

1. **Count the total number of marbles**:
- Green marbles: 3
- Red marbles: 7
- White marbles: 10

Total marbles = 3 + 7 + 10 = 20

2. **Count the number of favorable outcomes**:
The number of white marbles is 10.

3. **Calculate the probability**:
The probability \( P \) of drawing a white marble is given by the formula:

\[
P(\text{white}) = \frac{\text{Number of white marbles}}{\text{Total number of marbles}} = \frac{10}{20}
\]

4. **Simplify the fraction**:
\[
P(\text{white}) = \frac{1}{2}
\]

So, the probability that the marble drawn will be white is \( \frac{1}{2} \) or 0.5.