Question

Jeremy has a vase that contains red, blue, and green marbles. He draws a marble from the vase, records the result in the chart below, and replaces the marble. Jeremy repeats these steps 20 times.

Draw Outcomes
red blue red red
blue red red red
red blue red blue
red red blue red
red green red red


Using the data in the chart, determine the experimental probability of each color.
A.
P(red) = 0.7
P(blue) = 0.25
P(green) = 0.5

B.
P(red) = 0.75
P(blue) = 0.20
P(green) = 0.05

C.
P(red) = 0.5
P(blue) = 0.25
P(green) = 0.25

D.
P(red) = 0.7
P(blue) = 0.25
P(green) = 0.05

Answer 1

To determine the experimental probability of each color marble based on the provided data, we first need to count the total number of each color marble drawn and then divide by the total number of draws.

From the chart, we have a sequence of 20 marble draws:

- Red: 14 times
- Blue: 5 times
- Green: 1 time

Now, we calculate the experimental probabilities:

1. **Total draws:** 20
2. **P(red)** = Number of red marbles drawn / Total draws = 14 / 20 = 0.7
3. **P(blue)** = Number of blue marbles drawn / Total draws = 5 / 20 = 0.25
4. **P(green)** = Number of green marbles drawn / Total draws = 1 / 20 = 0.05

Now, let's summarize the probabilities:

- P(red) = 0.7
- P(blue) = 0.25
- P(green) = 0.05

Looking at the options provided, the correct answer is:

**D. P(red) = 0.7, P(blue) = 0.25, P(green) = 0.05**.