Answer:
There is a 51% probability they will make it to the super bowl.
Step-by-step explanation:
We have these following probabilities:
A 70% probability that the Patriots get homefield advantage.
A 30% probability that the Patriots does not get homefield advantage.
If they get homefield advantage, a 60% probability of making the Super Bowl.
If they do not get homefield advantage, a 30% probability of making the Super Bowl.
What is the probability they will make it to the Super Bowl?
This is 60% of 70%(when they get homefield advantage and make the super bowl), and 30% of 30%(no homefield, no super bowl). So
[tex]P = 0.6*0.7 + 0.3*0.3[/tex]
[tex]P = 0.51[/tex]
There is a 51% probability they will make it to the super bowl.
