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

100
100

200
200

50
50

300
300
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Answer 1

To find the estimated difference in the expected number of white and red balls in Bowl B, we can calculate the expected proportions based on the sample data provided.

From Bowl B, the data shows:

• Number of White Balls Selected: 60
• Number of Red Balls Selected: 40

Total balls selected from Bowl B: \[ 60 + 40 = 100 \]

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

• Proportion of White Balls = \(\frac{60}{100} = 0.6\)
• Proportion of Red Balls = \(\frac{40}{100} = 0.4\)

Next, we can use these proportions to estimate the number of white and red balls in Bowl B, which contains a total of 500 balls.

Estimated number of white balls in Bowl B: \[ 0.6 \times 500 = 300 \]

Estimated number of red balls in Bowl B: \[ 0.4 \times 500 = 200 \]

Now, we can find the difference between the estimated number of white and red balls in Bowl B: \[ 300 - 200 = 100 \]

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