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GOAL 0 1 2 3 4 5 > 5
p(X=x) 0.05 0.2 0.15 0.15 0.3 0.05 0.1
find the probability that there would be total 5 goals in 2 matches?
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P (5 goals in 2 matches) = 0.05*0.05 + 0.2*0.3 + 0.15*0.15 + 0.15*0.15 + 0.3*0.2 + 0.05*0.05 = 0.17.
ANSWER. The probability that there would be a total of 5 goals in 2 matches is 0.17, precisely (not approximately).