Bowls A and B contain a number of white and red balls. Raya repeatedly selected a ball from both bowls and recorded the results in a table. If there are 500 balls in Bowl A, what is the estimated difference in the expected number of red and white balls in Bowl A?
Bowl / White Marbles Selected / Red Marbles Selected
Bowl A / 25 / 75
Bowl B / 40 / 60
375
125
100
150
The estimated difference in the expected number of red and white balls in Bowl A can be calculated by finding the difference between the percentage of red balls and white balls selected from Bowl A.
Percentage of red balls selected from Bowl A = 75 / (75+25) = 75 / 100 = 0.75
Percentage of white balls selected from Bowl A = 25 / (75+25) = 25 / 100 = 0.25
Difference = Percentage of red balls - Percentage of white balls
Difference = 0.75 - 0.25
Difference = 0.5
Since there are 500 balls in Bowl A, we can estimate the difference in the expected number of red and white balls as follows:
Difference in expected number = Difference * Total number of balls in Bowl A
Difference in expected number = 0.5 * 500
Difference in expected number = 250
Therefore, the estimated difference in the expected number of red and white balls in Bowl A is 250.