Question 1 of 17, Step 1 of 1 Correct Suppose that your boss must choose five employees in your office to attend a conference in Jamaica. Because all 12 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Megan, Christofer, Barbara, and George are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary. Answer Tables Keypad Keyboard Shortcuts Submit Answer

Step 1 ：The problem is asking for the probability of a specific combination of people being chosen out of a larger group. This is a combinatorics problem, specifically a combination problem since the order of selection does not matter.

Step 2 ：The total number of ways to choose 5 people out of 12 is given by the combination formula \(C(n, k) = \frac{n!}{k!(n-k)!}\), where n is the total number of items, k is the number of items to choose, and '!' denotes factorial.

Step 3 ：In this case, n = 12 (total number of employees) and k = 5 (number of employees to be chosen).

Step 4 ：The specific combination of you, Megan, Christofer, Barbara, and George being chosen is just one specific combination out of the total. So, the probability is 1 divided by the total number of combinations.

Step 5 ：\(n = 12\)

Step 6 ：\(k = 5\)

Step 7 ：\(total\_combinations = 792.0\)

Step 8 ：\(probability = 0.0012626262626262627\)

Step 9 ：Final Answer: The probability that you, Megan, Christofer, Barbara, and George are chosen is \(\boxed{0.0013}\).