Use the table to answer the question.

Question

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

50
50

100

Answer 1

To assess the expected difference in the number of white and red balls in Bowl B, we can use the data provided in the table.

From Bowl B:

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

First, we can calculate the total number of balls selected from Bowl B:

\[ \text{Total Balls in Bowl B} = \text{White Balls} + \text{Red Balls} = 60 + 40 = 100 \]

Next, we can find the proportion of white and red balls selected:

\[ \text{Proportion of White Balls} = \frac{60}{100} = 0.6 \] \[ \text{Proportion of Red Balls} = \frac{40}{100} = 0.4 \]

Now, we can apply these proportions to the actual total number of balls in Bowl B, which is given as 500.

Expected number of white balls in Bowl B: \[ \text{Expected White Balls} = 500 \times 0.6 = 300 \]

Expected number of red balls in Bowl B: \[ \text{Expected Red Balls} = 500 \times 0.4 = 200 \]

Finally, we can calculate the difference in the expected number of white and red balls:

\[ \text{Difference} = \text{Expected White Balls} - \text{Expected Red Balls} = 300 - 200 = 100 \]

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

So the correct response is:

100