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

300
300

100
100

200
200

50
50
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Answer 1

To determine the estimated difference in the expected number of white and red balls in Bowl B, we first need to analyze the selections that Clark made.

From the table:

• In Bowl B, Clark selected 60 white balls and 40 red balls.

Total balls selected from Bowl B = 60 (white) + 40 (red) = 100 balls.

Now, we find the proportion of white and red balls selected from Bowl B:

• Proportion of white balls selected from Bowl B = 60/100 = 0.6
• Proportion of red balls selected from Bowl B = 40/100 = 0.4

Next, we know that there are 500 balls total in Bowl B. We can estimate the expected number of white and red balls in Bowl B based on these proportions.

Expected number of white balls in Bowl B = 0.6 × 500 = 300 Expected number of red balls in Bowl B = 0.4 × 500 = 200

Now, to find the estimated difference between the number of white and red balls in Bowl B: Difference = Expected number of white balls - Expected number of red balls Difference = 300 - 200 = 100

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

So the answer is:

100