To estimate the number of white balls in Bowl A based on the results, we can use the ratio of white to red balls selected.
From the table:
- Bowl A: 5 white balls and 15 red balls.
- Total selections from Bowl A = 5 + 15 = 20 balls.
The proportion of white balls in Bowl A is: \[ \text{Proportion of white balls in Bowl A} = \frac{5}{20} = \frac{1}{4} \]
Now, since we know that there are 36 balls in Bowl A, we can estimate the number of white balls (let's denote it as \( W \)) and red balls (let's denote it as \( R \)) by the equations: \[ W + R = 36 \] Given that the proportion of white balls is \( \frac{1}{4} \), we can write: \[ \frac{W}{W + R} = \frac{1}{4} \]
From the first equation, we can express \( R \) as: \[ R = 36 - W \]
Substituting this into the proportion equation gives: \[ \frac{W}{36} = \frac{1}{4} \]
Cross-multiplying to solve for \( W \): \[ 4W = 36 \] \[ W = 9 \]
Therefore, the estimated number of white balls in Bowl A is 9.
Final answer: 9