Question

On average, Ali scores a goal per match. What is the probability that Ali will score:
i) No goals in the next match.
ii) Exactly two goals in the next match.
iii) A minimum of 2 goals in the next 5 matches

Answer 1

The number of goals scored in a match is modelled here as:

i) Probability that there is no goal scored in the next match is computed here as:
= e^-1 = 0.3679
Therefore 0.3679 is the required probability here.

ii) The probability that exactly 2 goals are scored in the next match is computed here as:

Therefore 0.1839 is the required probability here.

iii) For 5 matches, the number of mean goals scored is computed as:
= 5*1 = 5

Therefore probability that a minimum of 2 goals are scored is computed here as:

Therefore 0.9596 is the required probability here.