(Solved): Q24. There are 6 different balls. The balls are labelled with the numbers: \( 1,2,3 \), 4,5 , and ...

Q24. There are 6 different balls. The balls are labelled with the numbers: \( 1,2,3 \), 4,5 , and 6 respectively. Suppose we first randomly pick up one ball from the six balls at a time, and then put the ball back. After that, we randomly pick up one ball again. - Event A represents that the first time we pick up the ball which displays the number of 1 . - Event B represents that the second time we pick up the ball which displays the number of 2 . - Event C represents that the sum of the numbers of two balls which we pick up twice is \( 8 . \) - Event D represents that the sum of the numbers of two balls which we pick up twice is \( 7 . \) So, which of the following statements is CORRECT? A. Event \( A \) and \( C \) are mutually independent. B. Event \( A \) and \( D \) are mutually independent. C. Event \( \mathrm{B} \) and \( \mathrm{C} \) are mutually independent. D. Event \( C \) and \( D \) are mutually independent.