Question

In a Premier League match between Man. United and Arsenal FC, there are 22 players altogether and 3 match officials on the pitch. a. Find the probability Man. United wins the match. b. If a person is selected at random from the pitch, what is the probability that he is an official? c. If both coaches decide to play 4 defenders, 3 midfielders and 3 attackers from each side, find the probability that a player selected at random is i. a goalkeeper. ii. an attacker. iii. a defender

Answer 1

a. Without any additional information provided, it is impossible to determine the probability of Manchester United winning the match. The outcome of a football match can be influenced by many factors such as player performance, tactics, and luck.

b. There are 22 players + 3 officials = 25 people on the pitch. The probability that a person selected at random from the pitch is an official is 3/25.

c. i. Since there are 2 goalkeepers on the pitch, the probability that a player selected at random is a goalkeeper is 2/22 = 1/11

ii. Since there are 3 attackers on the pitch, the probability that a player selected at random is an attacker is 3/22 = 1/7

iii. Since there are 8 defenders on the pitch, the probability that a player selected at random is a defender is 8/22 = 4/11