To determine the probability of selecting a yellow marble from the bag, we can follow these steps:
1. Calculate the total number of marbles in the bag:
- Blue marbles: 6
- Yellow marbles: 2
- Red marbles: 4
- Green marbles: 1
Total marbles = Blue marbles + Yellow marbles + Red marbles + Green marbles
[tex]\[
\text{Total marbles} = 6 + 2 + 4 + 1 = 13
\][/tex]
2. Identify the number of yellow marbles:
- Number of yellow marbles = 2
3. Determine the probability of selecting a yellow marble:
The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the favorable outcome is selecting a yellow marble.
Probability of selecting a yellow marble:
[tex]\[
\text{Probability} = \frac{\text{Number of yellow marbles}}{\text{Total number of marbles}} = \frac{2}{13}
\][/tex]
Therefore, the probability of reaching into the bag and selecting a yellow marble is [tex]\(\frac{2}{13}\)[/tex].
