Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Randomly selecting three juniors for a three-person committee at a high school with 32 students in each class (first-years, sophomores juniors, and seniors) Select the correct choice below and fill in the answer box to complete your choice. (Round to four decimal places as needed.) A. The individual events are dependent. The probability of the combined event is square B. The individual events are independent. The probability of the combined event is square

## Step 1: Determine Dependency### Since we are selecting a committee and not replacing the selected students, the probability of selecting a junior changes after each selection. Thus, the events are dependent.## Step 2: Calculate Probability of First Junior### There are 32 juniors out of a total of students. The probability of selecting a junior is .## Step 3: Calculate Probability of Second Junior### After selecting one junior, there are 31 juniors left and 127 total students. The probability of selecting another junior is .## Step 4: Calculate Probability of Third Junior### After selecting two juniors, there are 30 juniors left and 126 total students. The probability of selecting a third junior is .## Step 5: Calculate Combined Probability### The probability of selecting three juniors is the product of the individual probabilities: .