To determine the probability of drawing a white marble from a bag containing different colored marbles, we follow these steps:
1. Identify the total number of marbles:
There are 10 marbles in the bag.
2. Identify the number of white marbles:
There are 2 white marbles in the bag.
3. Set up the probability formula:
The probability [tex]\( P \)[/tex] of an event occurring is given by the ratio of the favorable outcomes to the total number of possible outcomes. Thus, the probability of drawing a white marble is:
[tex]\[
\text{Probability} = \frac{\text{Number of white marbles}}{\text{Total number of marbles}}
\][/tex]
4. Plug in the numbers:
[tex]\[
\text{Probability} = \frac{2}{10}
\][/tex]
5. Simplify the fraction:
Simplifying [tex]\(\frac{2}{10}\)[/tex] gives:
[tex]\[
\frac{2}{10} = \frac{1}{5}
\][/tex]
6. Convert the fraction to a decimal or percentage (optional):
[tex]\(\frac{1}{5}\)[/tex] as a decimal is 0.2, and as a percentage, it is 20%.
Therefore, the probability of drawing a white marble from the bag is:
[tex]\[
\boxed{0.2}
\][/tex]
