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

50
50

300
300

100

Answer 1

To find the estimated difference in the expected number of white and red balls in Bowl B, we first need to determine the proportions of white and red balls selected from Bowl B based on the data provided.

From the table:

• Number of White Balls Selected from Bowl B: 60
• Number of Red Balls Selected from Bowl B: 40

Total number of balls selected from Bowl B = 60 + 40 = 100.

Now we can calculate the proportions:

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

Now, we apply these proportions to the total number of balls in Bowl B, which is 500:

• 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 find the difference between the expected number of white and red balls: \[ \text{Difference} = \text{Estimated Number of White Balls} - \text{Estimated Number of Red Balls} \] \[ \text{Difference} = 300 - 200 = 100 \]

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