You are thinking about the things that can go wrong on your trip home over the Thanksgiving break. You have booked a flight with US$-$Scareways. You know that in $20$ percent of the cases the company has canceled the flight you were on$.$ Should such a thing occur, there would be no other air travel option home for you. As a backup, your friend Walter has offered you a ride back. However, you know that Walter only has a seat in his car for you with $78$ percent probability.$($Do not round intermediate calculations. Round your answer to $4$ decimal places.$)$What is the probability of you making it home for the holidays?