To find the probability of pulling a red marble from the bag, we first need to determine the total number of marbles in the bag.
The bag contains:
- 3 blue marbles
- 5 red marbles
- 6 yellow marbles
Now, let's calculate the total number of marbles:
\[ \text{Total marbles} = 3 \text{ (blue)} + 5 \text{ (red)} + 6 \text{ (yellow)} = 14 \text{ marbles} \]
Next, we find the number of successful outcomes (pulling a red marble), which, in this case, is the number of red marbles:
\[ \text{Number of red marbles} = 5 \]
Now, the probability \( P \) of pulling a red marble is given by the ratio of the number of red marbles to the total number of marbles:
\[ P(\text{red}) = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{5}{14} \]
Thus, the probability of pulling a red marble is:
\[ \boxed{\frac{5}{14}} \]
So the correct answer is C. \( \frac{5}{14} \).
5 answers