There were 43 games where a single red card was issued. At 90 minutes per game there would have been 3,870 minutes played in these games. However, only 1,305 minutes involved 10 players versus 11 players. The distribution of red cards by the number of minutes left in each game is presented in the chart below.
final score was 2-1 then we estimate the cost to the team in terms of goals as 1. We focus on the net cost in terms of goals. For example, if the score was 1-1 at the time of the card and it ended up 5-4 then the cost would also be 1. The chart below shows the cost to the team receiving the red card in terms of goals. The negative figure represent situations where the team that received the card scored more goals than their opponents. The -2 in the chart is for the
game where Manchester City had their captain sent off against Hull when the score was 0-0. Despite this setback Manchester won the game by two goals.
What happens when we examine the cost of the red card in terms of points. As in the case of goals, we calculate the cost of the red card by examining the change in scoreline between the time of the card and the final whistle. Where a team was drawing the game 1-1 when the card was issued but lose the game 2-1 then the cost is the 1 point the team would have got from earning a draw.
The chart below shows that the 43 red cards cost their teams 11 points in total. It means that a red card costs a team about a quarter of one point. That does not seem a huge amount. Two teams overcame a red card to turn a draw into a win. Eight teams went from drawing a game to losing it (and the point they would have earned). Two teams drew a game they were winning. Only one team (West Ham) lost a game they were winning after receiving a red card.