Use the table to answer the question.

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

300
300

100
100

50

Answer 1

To estimate the difference in the expected number of white and red balls in Bowl B based on the selected numbers from the table, we will use the proportion of white and red balls selected from Bowl B.

From the table:

• Number of White Balls Selected from Bowl B = 60
• Number of Red Balls Selected from Bowl B = 40
• Total Balls Selected from Bowl B = 60 + 40 = 100

Now we can find the proportions of white and red balls selected from Bowl B:

• Proportion of White Balls = 60/100 = 0.6
• Proportion of Red Balls = 40/100 = 0.4

Now, using these proportions, we can estimate the expected number of white and red balls in Bowl B (which contains a total of 500 balls):

Expected number of White Balls in Bowl B: \( 0.6 \times 500 = 300 \)

Expected number of Red Balls in Bowl B: \( 0.4 \times 500 = 200 \)

Now, let's calculate the difference between the expected number of White and Red balls: \( 300 - 200 = 100 \)

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

So, the correct response is: 100