Question

Consider randomly pulling marbles from a bag that contains 3 blue, 5 red, and 6 yellow marbles. What is the probability of pulling a red marble?

A. 5/9
B. 1/5
C. 5/14
D. 5/5

Answer 1

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. \( \frac{5}{14} \).