Use the table to answer the question.
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
200
100
300
To find the estimated difference in the expected number of white and red balls in Bowl B, we need to calculate the expected number of white and red balls in Bowl B first.
In Bowl B, 60 white balls were selected out of 100 total balls selected, so the estimated proportion of white balls in Bowl B is 60/100 = 0.6.
Since there are 500 balls in Bowl B, we can estimate the number of white balls in Bowl B as 0.6 x 500 = 300.
Similarly, the estimated number of red balls in Bowl B can be calculated as 0.4 x 500 = 200.
The estimated difference in the expected number of white and red balls in Bowl B is 300 - 200 = 100.
Therefore, the estimated difference in the expected number of white and red balls in Bowl B is 100. The correct response is 100.