To solve this problem, we need to determine the probability that a randomly drawn marble from a bag containing various colored marbles is blue.
Start by understanding the total number of marbles in the bag and how many of them are blue:
- There are 10 marbles in total.
- Out of these 10 marbles, 3 are blue.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Here, the favorable outcome is drawing a blue marble.
So, we set up our probability fraction as follows:
[tex]\[ \text{Probability of drawing a blue marble} = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} \][/tex]
Plugging in the numbers we have:
[tex]\[ \text{Probability of drawing a blue marble} = \frac{3}{10} \][/tex]
Thus, the probability that a randomly drawn marble is blue is:
[tex]\[ \frac{3}{10} = 0.3 \][/tex]
Therefore, the answer is:
[tex]\[ 0.3 \][/tex]
