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

50
50

300
300

100
100

200

Answer 1

To find the estimated difference in the expected number of white and red balls in Bowl B, we can first analyze the selection results from Bowl B given in the table:

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

Next, we can calculate the total number of selections made from Bowl B:

\[ \text{Total selections from Bowl B} = 60 + 40 = 100 \]

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

• Proportion of white balls selected:

\[ \text{Proportion of white balls} = \frac{60}{100} = 0.6 \]

• Proportion of red balls selected:

\[ \text{Proportion of red balls} = \frac{40}{100} = 0.4 \]

Now, knowing that there are a total of 500 balls in Bowl B, we can estimate the expected number of each color of balls in Bowl B:

• Expected number of white balls in Bowl B:

\[ \text{Expected number of white balls} = 0.6 \times 500 = 300 \]

• Expected number of red balls in Bowl B:

\[ \text{Expected number of red balls} = 0.4 \times 500 = 200 \]

Now, we can find the difference in expected numbers:

\[ \text{Difference} = \text{Expected white balls} - \text{Expected red balls} = 300 - 200 = 100 \]

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

100