Question

Question

Use the table to answer the question.

This table shows the number of white and red balls selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 40
Bowls A and B contain a number of white and red balls. Clark repeatedly selected a ball from both bowls and recorded the results in a table. If there are 500 balls in Bowl B, what is the estimated difference in the expected number of white and red balls in Bowl B?

(1 point)
Responses

200
200

100
100

50
50

300
300

Answer 1

To find the expected difference in the number of white and red balls in Bowl B, we first need to analyze the data provided for Bowl B.

From the table, we have:

• Number of white balls selected from Bowl B: 60
• Number of red balls selected from Bowl B: 40

Next, we calculate the total number of selections made from Bowl B: Total selections = Number of white balls + Number of red balls = 60 + 40 = 100.

Now, we determine the proportion of white and red balls selected:

• Proportion of white balls = 60 / 100 = 0.6
• Proportion of red balls = 40 / 100 = 0.4

Since there are 500 balls in Bowl B, we can estimate the expected number of white and red balls:

• Expected number of white balls = Proportion of white balls × Total number of balls in Bowl B = 0.6 × 500 = 300.

• Expected number of red balls = Proportion of red balls × Total number of balls in Bowl B = 0.4 × 500 = 200.

Now, we calculate the difference between the expected number of white and red balls in Bowl B:

Expected difference = Expected number of white balls - Expected number of red balls = 300 - 200 = 100.

Thus, the estimated difference in the expected number of white and red balls in Bowl B is 100.

So, the correct response is:

100