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 correctly complete the sentences.
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

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

How to detrmine the probability of selecting a yellow marble

From the question, we have the following parameters that can be used in our computation:

The table of values

Where, we have

Yellow = 6

Total = 30

So, we have

P(Yellow) = 6/30

P(Yellow) = 0.2

Also, we have the expected value of red to be

Expected Red = P(Red) * Total

So, we have

Expected Red = 9/30 * 300

Evaluate

Expected Red = 90

Hence, the expected number of red is 90

Answer 2

The probability of selecting a yellow marble is #of yellow marbles/total # of marbles= 6/30 or .2 or 20%

If there are 300 marbles in the bag, a good estimate for the total number of red marbles in the bag is 90.

9/30=.3 = the percentage of red marbles
.3(300) = 90