Question

Mark has a jar of marbles. The jar contains 1 red marble, 2 green marbles, 15 yellow marbles, and 11 blue marbles. Without looking, Mark chooses a marble from the jar.

Answer 1

To determine the probability of Mark choosing a specific color of marble from his jar, we first need to calculate the total number of marbles in the jar.

Here's how many marbles of each color are in the jar:

- Red marbles: 1
- Green marbles: 2
- Yellow marbles: 15
- Blue marbles: 11

Now we can find the total number of marbles:

Total marbles = Red marbles + Green marbles + Yellow marbles + Blue marbles
Total marbles = 1 + 2 + 15 + 11
Total marbles = 29

Now, we can find the probability of Mark choosing each color of marble:

1. **Probability of choosing a red marble**:
\[
P(\text{Red}) = \frac{\text{Number of Red marbles}}{\text{Total marbles}} = \frac{1}{29}
\]

2. **Probability of choosing a green marble**:
\[
P(\text{Green}) = \frac{\text{Number of Green marbles}}{\text{Total marbles}} = \frac{2}{29}
\]

3. **Probability of choosing a yellow marble**:
\[
P(\text{Yellow}) = \frac{\text{Number of Yellow marbles}}{\text{Total marbles}} = \frac{15}{29}
\]

4. **Probability of choosing a blue marble**:
\[
P(\text{Blue}) = \frac{\text{Number of Blue marbles}}{\text{Total marbles}} = \frac{11}{29}
\]

So, based on the jar's contents, the probabilities of selecting each color marble are:
- Red: \(\frac{1}{29}\)
- Green: \(\frac{2}{29}\)
- Yellow: \(\frac{15}{29}\)
- Blue: \(\frac{11}{29}\)