SOLUTION: I cannot figure the correct term terms to use. Help please. During the winter months, Mr Myer experiences diffuculty in staring his 2 cars, a 1966 Mustang and a 1986 Ranger. The p

Question 101851: I cannot figure the correct term terms to use. Help please.
During the winter months, Mr Myer experiences diffuculty in staring his 2 cars, a 1966 Mustang and a 1986 Ranger. The probability that the Mustang starts in 0.8, and the probablity the Ranger starts is .4. The probability that both cars start is 0.3. Let A represent the event "The Mustang starts, and B represent "The Ranger Starts". Use probability notation to describe and solve the following:
a. What is the probability that Mr Myer can start at least one of his cars?
b. What is the probability that Mr Myer cannot start either of his cars?
Wow it seems like a lot to. Should I start with a joint probability table?
I can say A is Mustang Starts=.8 So A' prime will be .2? To equal 1
I can say B is Ranger Starts=.4 So B' prime will be .6? To equal 1
What do I do with the both cars start information? Which is 0.3. Would I need a C and a C' prime? How do I write this probability notation?
Thank you for your assistance.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The probability that the Mustang starts in 0.8, and the probablity the Ranger starts is .4. The probability that both cars start is 0.3. Let A represent the event "The Mustang starts, and B represent "The Ranger Starts".
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b. What is the probability that Mr Myer cannot start either of his cars?
P(A')= 0.2
P(B')= 0.6
The events are independent, so
P(A' and B') = 0.2*0.6= 0.12
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a. What is the probability that Mr Myer can start at least one of his cars?
P(A or B) = 1- P (A' and B') = 1-0.12 = 0.88
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Comment: I solved part b 1st because it makes solving part a easier.
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Cheers,
Stan H.
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