Bowl A has 45 white balls and 55 red balls

Bowl B has 60 white balls and 40 red balls
Bowls an and b contain a number of white and red balls. Clark repeatedly selected a ball from both bowls and recorded results in the table. If there were 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 estimate the expected difference in the number of white and red balls in bowl B, we first need to calculate the probability of selecting a white ball and a red ball from each bowl.

For Bowl A:
- Probability of selecting a white ball = 45/100 = 0.45
- Probability of selecting a red ball = 55/100 = 0.55

For Bowl B:
- Since Bowl B has 60 white balls and 40 red balls, we can calculate the probabilities as follows:
Probability of selecting a white ball = 60/100 = 0.6
Probability of selecting a red ball = 40/100 = 0.4

Now, we can calculate the expected difference in the number of white and red balls in Bowl B by multiplying the difference in probabilities with the total number of balls in Bowl B:

Expected difference = (0.6 - 0.4) * 500
Expected difference = 0.2 * 500
Expected difference = 100

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