The following table shows the frequencies that the Green Bay Packers of the NFL called a running play or a passing play for various down and distance situations for the first five games of a recent season. (Yes, I actually counted these frequencies myself.)

Down and Distance Run Pass First down and 10 or more yards to go 55 81 Second down and 6 or more yards to go 27 52 Second down and 5 or less yards to go 18 10 Third down and 2 or more yards to go 3 60 Third down and 1 yard to go 1 2 What is the probability that the Packers will do the following:

a. Pass the ball on any given down

b. Run the ball on second down

c. Pass the ball, given that it is third down and they have 1 yard to go

d. Run the ball on first down

e. Run the ball, given that it is second down and they have 6 or more yards to go

f. Construct a decision tree for these events.

AppendixLO1