Question

Use the table to answer the question.

Number of White Balls Selected Number of Red Balls Selected
Bowl A 45 55
Bowl B 60 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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to find out the total number of balls in Bowl A.

Total number of balls = Number of White Balls Selected + Number of Red Balls Selected
Total number of balls in Bowl A = 45 + 55
Total number of balls in Bowl A = 100

Next, we need to find the estimated proportion of white and red balls in Bowl A.

Proportion of white balls in Bowl A = Number of White Balls Selected / Total number of balls in Bowl A
Proportion of white balls in Bowl A = 45 / 100
Proportion of white balls in Bowl A = 0.45

Proportion of red balls in Bowl A = Number of Red Balls Selected / Total number of balls in Bowl A
Proportion of red balls in Bowl A = 55 / 100
Proportion of red balls in Bowl A = 0.55

Now, we can estimate the number of white and red balls in Bowl B.

Number of white balls in Bowl B = Proportion of white balls in Bowl A * Total number of balls in Bowl B
Number of white balls in Bowl B = 0.45 * 500
Number of white balls in Bowl B = 225

Number of red balls in Bowl B = Proportion of red balls in Bowl A * Total number of balls in Bowl B
Number of red balls in Bowl B = 0.55 * 500
Number of red balls in Bowl B = 275

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

Difference = Number of white balls in Bowl B - Number of red balls in Bowl B
Difference = 225 - 275
Difference = -50

Therefore, the estimated difference in the expected number of white and red balls in Bowl B is 50.