Question

Use the table to answer the question. This table shows the number of white and red balls selected from Bowl A and Bowl B. 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? (1 point) Responses 300 300 100 100 200 200 50

Answer 1

To estimate the difference in the expected number of white and red balls in Bowl B, we first need to find the proportion of white and red balls selected from Bowl B based on the data provided.

From the data in the table:

• Number of white balls selected from Bowl B: 60
• Number of red balls selected from Bowl B: 40

Total balls selected from Bowl B = 60 (white) + 40 (red) = 100

Now we calculate the probabilities:

• Proportion of white balls selected = \(\frac{60}{100} = 0.6\)
• Proportion of red balls selected = \(\frac{40}{100} = 0.4\)

If there are 500 balls in Bowl B, we can estimate the expected number of white and red balls as follows:

• Expected number of white balls in Bowl B = \(0.6 \times 500 = 300\)
• Expected number of red balls in Bowl B = \(0.4 \times 500 = 200\)

Now, we find the difference between the expected number of white and red balls: \[ \text{Difference} = \text{Expected number of white balls} - \text{Expected number of red balls} = 300 - 200 = 100 \]

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