White balls. Red balls

Question

Bowl A 45. Bowl A. 55
Bowl B. 60. Bowl B. 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?
A. 50
B. 200
C. 100
D. 300

Answer 1

First, calculate the expected number of white balls in Bowl B by multiplying the proportion of white balls in Bowl B by the total number of balls in Bowl B:

Proportion of white balls in Bowl B = 40/100 = 0.4
Expected number of white balls in Bowl B = 0.4 * 500 = 200

Next, calculate the expected number of red balls in Bowl B by subtracting the expected number of white balls from the total number of balls:

Expected number of red balls in Bowl B = 500 - 200 = 300

Finally, calculate the estimated difference in the expected number of white and red balls in Bowl B:

Difference = 300 - 200 = 100

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