Question

Your parents allow you to have an outing with your friends every Saturday of the month. You select the movies, bowling, skating, and the arcade as your activities for this month and put them on slips of paper in a jar to randomly select. In 3–5 sentences, describe the independent and dependent probabilities, then determine how many possible events you could have for the month if the movie outing is selected first and not replaced.(4 points)

Answer 1

Independent probabilities occur when each draw doesn't change the sample space (for example, if you replaced the slip after each draw so the chance of each activity stays the same). Dependent probabilities occur when one outcome changes the chances of the next (such as not replacing a slip, which reduces the number of options). Since the movie outing is picked first and not replaced, the remaining three outings are chosen from the three remaining slips, so the choices are dependent. The number of possible orderings for the month is 3! = 6.