My alarm clock works with probability 07 and my car starts w

My alarm clock works with probability 0.7 and my car starts with probability 0.8. I have a test in my 8am class. If there are 2 disasters, l make it on time with probability 0.2; with one disaster, the chance of being on time is 0.5 and with no disasters, I make it with probability 0.8. What is the chance that l make it to class on time?