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. In bowl A 45 white balls are selected and 55 red balls are selected. In bowl B 60 white balls are selected and 40 red balls are selected. 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 answer

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.

From the information given, we know that in Bowl A, the ratio of white to red balls is 45:55, and in Bowl B, the ratio of white to red balls is 60:40.

Let's calculate the expected number of white balls in Bowl B:
Since there are 500 balls in Bowl B, the expected number of white balls in Bowl B is:
(60/100) * 500 = 300 white balls

Now, let's calculate the expected number of red balls in Bowl B:
(40/100) * 500 = 200 red balls

Therefore, the estimated difference in the expected number of white and red balls in Bowl B is:
300 (expected white balls) - 200 (expected red balls) = 100

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