Question

Amy, Bess, Cassie, Diana, and Ellen are a basketball team. Two of them will be guards. Assuming they all have an equal chance of becoming guards, what is the probability that Diana will be a guards. which outcome (or outcomes) of the sample space compose the event? Describe the probability Diana becoming a guard as impossiable, unlikey, neither likey nor unlikey, likey or certain. Justify your answ

Answer 1

There are 5 people who can be guards, 2 will be guards. Since each person has the same chance of becoming a guard, each person has a 2/5 chance of being a guard which makes it unlikely for Diana to become a guard.

Answer 2

Answer: 1: The sample space for this problem is {Amy, Bess, Cassie, Diana, Ellen} 2: 10 outcomes 3: 2/5 or 0.4 4: The probability of Diana becoming a guard is possible since her chance of being chosen is 40%.

Step-by-step explanation: The explanations are on every problem except for 2 so here it is. The outcomes of the sample problem are Diana and Ellen, Diana and Cassie, Diana and Amy, Diana and Bess, Amy and Bess, Amy and Cassie, Amy and Ellen, Cassie and Bess, Cassie and Ellen, Ellen and Bess which adds up to ten outcomes since two people can be chosen from the group of five.