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

50
50

200
200

100
100

300

:)

Answer 1

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

From the table, we see that in Bowl B, the number of balls selected was:

• White Balls: 60
• Red Balls: 40
• Total Balls Selected from Bowl B: 60 + 40 = 100

Now, we will calculate the proportions:

• Proportion of White Balls = 60/100 = 0.6
• Proportion of Red Balls = 40/100 = 0.4

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

Expected Number of White Balls in Bowl B: \[ \text{Expected White Balls} = \text{Total Balls in Bowl B} \times \text{Proportion of White Balls} = 500 \times 0.6 = 300 \]

Expected Number of Red Balls in Bowl B: \[ \text{Expected Red Balls} = \text{Total Balls in Bowl B} \times \text{Proportion of Red Balls} = 500 \times 0.4 = 200 \]

Now, we find the difference between the expected number of white balls and red balls in Bowl B: \[ \text{Difference} = \text{Expected White Balls} - \text{Expected Red Balls} = 300 - 200 = 100 \]

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

So the correct response is: 100.