Question

Ilana drew a marble at random from a bag containing 4 blue, 3 red, 2 yellow, and 5 green marbles. What is the probability that she picked a marble that is not red?

Answer 1

To calculate the probability that Ilana picks a marble that is not red, we first need to determine the total number of marbles in the bag.

The bag contains:
- 4 blue marbles
- 3 red marbles
- 2 yellow marbles
- 5 green marbles

Now, we will find the total number of marbles:

\[
\text{Total marbles} = 4 \text{ (blue)} + 3 \text{ (red)} + 2 \text{ (yellow)} + 5 \text{ (green)} = 14
\]

Next, we need to calculate the number of marbles that are not red. The number of non-red marbles can be found by subtracting the number of red marbles from the total number of marbles:

\[
\text{Non-red marbles} = \text{Total marbles} - \text{Red marbles} = 14 - 3 = 11
\]

Now, the probability of drawing a marble that is not red is given by the formula:

\[
\text{Probability (not red)} = \frac{\text{Number of non-red marbles}}{\text{Total number of marbles}} = \frac{11}{14}
\]

Thus, the probability that Ilana picked a marble that is not red is

\[
\boxed{\frac{11}{14}}
\]