Question

4. A famous Premier-league footballer was quoted on Match of the Day to have a goal-scoring statistic of 0.36 Can you briefly explain what that might mean?[1]

(b) How many games would he have to play to score a whole number of goals? [2]

Answer 1

a. The probability of scoring a goal in a game is 0.36

b. 3 games

Explanation:

Answer 2

a. The probability of scoring a goal in a game is 0.36

b. 3 games

Explanation:

a. -A goal-scoring statistic is the probability of a player scoring one goal in any given game played.

-A 0.36 goal scoring statistic means that the player has a 0.36 or 36% chance of scoring a goal in any game that he plays in.

b. To determine the number of games it takes to score a whole goal, we divide the probability by 1 goal:

`Games=(1 \ game)/(p(goal))\\\\=(1)/(0.36)\\\\=2.7778\approx 3 \ games`

Hence, it will take approximately 3 games to score a full goal.