Question

Evan randomly selects 30 marbles from a bag. His data is given in the table.
Color
Number of Marbles
Red
9
White
3
Blue
8
Orange
4
Yellow
6

Based on Evan's data, enter a number in each box to complete the sentences correctly.
The probability of selecting a yellow marble is
.
If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is
.

Answer 1

To calculate the probability of selecting a yellow marble, we can use the formula for probability:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

From the data, the number of yellow marbles is 6, and the total number of marbles is 30.

\[
\text{Probability of selecting a yellow marble} = \frac{6}{30} = \frac{1}{5} = 0.2
\]

So, the probability of selecting a yellow marble is **0.2**.

Next, to estimate the total number of red marbles in a bag of 300 marbles, we first find the proportion of red marbles in Evan's selection.

The number of red marbles is 9, and the total number of marbles is 30.

\[
\text{Proportion of red marbles} = \frac{9}{30} = 0.3
\]

Now, we can estimate the number of red marbles in a bag of 300 marbles:

\[
\text{Estimated number of red marbles} = 0.3 \times 300 = 90
\]

So, a good estimate for the total number of red marbles in the bag is **90**.

To summarize:

- The probability of selecting a yellow marble is **0.2**.
- A good estimate for the total number of red marbles in the bag is **90**.