Question 11

Explanation

First Box Probability

The first box contains $4$ red balls and $3$ blue balls. The total number of balls in the first box is:

The probability of drawing a red ball from the first box ($M$) is:

Second Box Probability

The second box contains $7$ red balls and $3$ white balls. The total number of balls in the second box is:

The probability of drawing a white ball from the second box ($P$) is:

Combined Probability

Since drawing balls from the two boxes are independent events, the probability of drawing a red ball from the first box and a white ball from the second box is:

Thus, the probability is $\frac{12}{70}$.