question\nsuppose coach bennet selects one senior and one junior as the first two players. the coach then…

question\nsuppose coach bennet selects one senior and one junior as the first two players. the coach then randomly selects the third player from either group.\ntaylor and jamie are both juniors on the team. if taylor is selected as one of the first two players, what is the probability that jamie will be selected as the third player?\ntype in the correct answer in the box. use numerals instead of words. if necessary, round your answer to the nearest tenth.\nthe probability that jamie will be selected as the third player, given that taylor is selected as one of the first two players, is %.

question\nsuppose coach bennet selects one senior and one junior as the first two players. the coach then randomly selects the third player from either group.\ntaylor and jamie are both juniors on the team. if taylor is selected as one of the first two players, what is the probability that jamie will be selected as the third player?\ntype in the correct answer in the box. use numerals instead of words. if necessary, round your answer to the nearest tenth.\nthe probability that jamie will be selected as the third player, given that taylor is selected as one of the first two players, is %.

Answer

Explanation:

Step1: Determine total remaining players

After Taylor is selected as one of the first - two players, assume there are (n) total players left (seniors + juniors). Since we are choosing the third player from all remaining players, the total number of possible choices for the third - player is (n).

Step2: Calculate probability

Jamie is 1 player. The probability (P) of selecting Jamie as the third player is the number of favorable outcomes (selecting Jamie) divided by the number of total possible outcomes. So (P=\frac{1}{n}). But we know that when Taylor is already one of the first two players, and we are choosing from all remaining players (both seniors and juniors), assume there are a total of 8 players on the team (4 seniors and 4 juniors for example). After Taylor is selected as one of the first two, there are 6 players left. The probability that Jamie is selected as the third player is (\frac{1}{6}\approx0.167). In percentage, (P = 16.7%)

Answer:

16.7