SHOW WORK NOTE for any question asking you to determine a pr

SHOW WORK!!!!! NOTE: for any question asking you to determine a probability----you MUST write out a probability statement using proper notation!!!!

1. John is going to buy a new car. He will purchase a car with one of the following  body types: sedan or hatchback. He will also choose from among manufacturers: Honda, Ford, Kia or Chevrolet. He will choose from among 5 colors: black, white, red, silver or blue. Assume that all choices are equally likely.

a) How many different choices of vehicles does John have?

b) What is the probability that John chooses a black sedan?

c) What is the probability that John chooses a red, white or blue car?

d) Given that John chooses a silver car, what is the probability that it is not a Ford?


2. Event A occurs with probability 0.72 and event B occurs with probability 0.2.

a) What is the probability of the largest possible intersection of A and B?

b) What is the probability of the smallest possible intersection of A and B?

c) If it is known that P(Ac ? B c ) = 0.17, find P(A? B) and P(A ? B).

d) Draw a Venn diagram based on part c).

e) Using parts c) and d), find the probability of B given A.

Solution

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