A football team either wins, draws or loses a match, with probabilities ppp, 0.20 and 0.80−p0.80-p0.80−p respectively. Results of two matches are modelled as independent. The probability of at least one win in the two matches is 0.51.
Find ppp.
The team earns 3 points for a win and 1 point for a draw. Find the probability that it earns exactly 4 points from the two matches.
In 250 pairs of matches, find the expected number in which the team earns exactly 4 points.
Give one reason why the results of consecutive matches may not be independent.