Variance=mean=3.3, SD=sqrt(3.3)=1.82 approx.
Poisson probability P(X)=(e^-µ)µ^X/X!, where µ=mean.
P(72/18)=P(4)=e^-3.3*3.3^4/4!=0.182 is the probability of averaging 72 in 18 holes.
Exclude P(0) in this case because it has no meaning to average zero strokes per hole.
Probability of more than 4 strokes per hole is (1-probability of 1, 2, 3 or 4 strokes per hole).
Probability of more than 4 strokes per hole is 1-(P(1)+P(2)+P(3)+P(4))=
1-e^-3.3(3.3+3.3^2/2+3.3^3/6+3.3^4/24)=
1-3.3e^-3.3(1+3.3/2+3.3^2/6+3.3^3/24)=0.2743 or 27.43%.