# Manchester United beat Liverpool 42 at soccer, but you do not know the order in which the goals…

Manchester United beat Liverpool 42 at soccer, but you do

not know the order in which the goals were scored. Draw a tree diagram to

display all the possibilities and use it to find (a) the probability that the

goals were scored in the order L, MU, MU, MU, L, MU, and (b) the probability

that the score was 22 at some stage.