Number of white balls selected

Bowl A: 45
Bowl B: 60

Number of red balls selected
Bowl A: 55
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?

200
50
100
300

1 answer

The total number of balls selected from Bowl B is 60 white balls + 40 red balls = 100 balls.

Since there are 500 balls in Bowl B, the fraction of white balls selected from Bowl B is 60 white balls / 100 total balls = 0.6.

Therefore, the estimated number of white balls in Bowl B is 0.6 * 500 balls = 300 white balls.

Similarly, the estimated number of red balls in Bowl B is 0.4 * 500 balls = 200 red balls.

The estimated difference in the expected number of white and red balls in Bowl B is 300 white balls - 200 red balls = 100 balls.

Therefore, the correct answer is 100.