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?
Bowl A : 45, 55
Bowl B : 60, 40
Number of white balls selected : 45, 60
Number of red balls selected : 55, 40
The expected number of white balls in Bowl B can be calculated as (60/100)*500 = 300, and the expected number of red balls in Bowl B can be calculated as (40/100)*500 = 200. Therefore, the estimated difference in the expected number of white and red balls in Bowl B is 300 - 200 = 100.
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 balls and red balls in Bowl B.
The expected number of white balls in Bowl B can be calculated by taking the average of the number of white balls selected from Bowl B:
Expected number of white balls in Bowl B = (Number of white balls selected from Bowl B) / (Number of times a ball was selected from Bowl B)
Using the given values, we have:
Expected number of white balls in Bowl B = 60 / 2 = 30
Similarly, the expected number of red balls in Bowl B can be calculated by taking the average of the number of red balls selected from Bowl B:
Expected number of red balls in Bowl B = (Number of red balls selected from Bowl B) / (Number of times a ball was selected from Bowl B)
Using the given values, we have:
Expected number of red balls in Bowl B = 40 / 2 = 20
Finally, the estimated difference in the expected number of white and red balls in Bowl B can be calculated by subtracting the expected number of red balls from the expected number of white balls:
Estimated difference = Expected number of white balls in Bowl B - Expected number of red balls in Bowl B
= 30 - 20
= 10
Therefore, the estimated difference in the expected number of white and red balls in Bowl B is 10.