Question 10

Explanation

Analyzing Probability for the First Box

In the first box, there are a total of $4 + 3 = 7$ balls. We want to draw a red ball, of which there are $4$. The probability of drawing a red ball from the first box is:

Analyzing Probability for the Second Box

In the second box, there are a total of $7 + 3 = 10$ balls. We want to draw a white ball, of which there are $3$. The probability of drawing a white ball from the second box is:

Calculating the Combined Probability

Since drawing balls from the two boxes are independent events (the event in the first box does not affect the second box), the probability of both events occurring together is calculated by multiplying their individual probabilities.

Thus, the probability of drawing a red ball from the first box and a white ball from the second box is $\frac{12}{70}$.