suppose coach bennet selects one senior and one junior as the first two players. the coach then randomly…

suppose coach bennet selects one senior and one junior as the first two players. the coach then randomly selects the third player from either group. taylor 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? type in the correct answer in the box. use numerals instead of words. if necessary, round your answer to the nearest tenth. the probability that jamie will be selected as the third player, given that taylor is selected as one of the first two players, is %.

suppose coach bennet selects one senior and one junior as the first two players. the coach then randomly selects the third player from either group. taylor 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? type in the correct answer in the box. use numerals instead of words. if necessary, round your answer to the nearest tenth. the 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 number of remaining players

After Taylor is selected as one of the first - two players, assume there are (n) total players left (including both seniors and juniors). Let's assume there are (x) juniors and (y) seniors left, so (n=x + y). Since we are interested in the probability of selecting Jamie (a junior) as the third - player, and Jamie is one of the remaining players.

Step2: Calculate the probability

The probability (P) of selecting Jamie as the third player is given by the formula (P=\frac{1}{n}). But we know that when Taylor is selected as one of the first two players, if we consider only the selection of the third player, and assume there are a total of (n) players available for the third - selection. The probability of selecting Jamie is (\frac{1}{n}). Since we don't have information about the number of seniors and juniors other than Taylor and Jamie, assume there are a total of 8 players on the team (4 seniors and 4 juniors for simplicity). After Taylor is selected as one of the first two players, there are 6 players left for the third - selection. The probability (P=\frac{1}{6}\approx0.167). To convert to a percentage, we multiply by 100: (P = 16.7%\approx16.7) (rounded to the nearest tenth).

Answer:

16.7