# Question

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.)

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.

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.

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