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?

A. 3/14
B. 11/14
C. 3/11
D. 5/7

Answer 1

To determine the probability that Ilana picked a marble that is not red, we first calculate the total number of marbles in the bag and the number of marbles that are not red.

1. **Total marbles**:
- Blue marbles: 4
- Red marbles: 3
- Yellow marbles: 2
- Green marbles: 5

Total = 4 (blue) + 3 (red) + 2 (yellow) + 5 (green) = 14 marbles

2. **Marbles that are not red**:
- Blue: 4
- Yellow: 2
- Green: 5

Total not red = 4 (blue) + 2 (yellow) + 5 (green) = 11 marbles

3. **Probability of picking a marble that is not red**:

Probability = (Number of not red marbles) / (Total number of marbles)
Probability = 11 / 14

Thus, the probability that Ilana picked a marble that is not red is \( \frac{11}{14} \).

The correct answer is **B. 11/14**.