To determine the probability of drawing a red marble from the bag, we'll start by calculating the total number of marbles and then use this to find the probability of selecting a red marble.
1. Count the total number of marbles:
- Number of blue marbles: 1
- Number of green marbles: 2
- Number of yellow marbles: 3
- Number of red marbles: 3
Total number of marbles = blue marbles + green marbles + yellow marbles + red marbles
= 1 + 2 + 3 + 3
= 9
2. Count the number of red marbles:
- Number of red marbles: 3
3. Calculate the probability of drawing a red marble:
The probability ([tex]\( P \)[/tex]) of drawing a red marble is given by the ratio of the number of red marbles to the total number of marbles.
[tex]\[
P(\text{red marble}) = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{3}{9} = \frac{1}{3}
\][/tex]
Therefore, the probability of drawing a red marble from the bag is [tex]\(\frac{1}{3}\)[/tex].
The correct answer is:
[tex]\(\frac{1}{3}\)[/tex]
