87. Consider randomly selecting a single individual and having that person test drive 3 different vehicles. Define events A1, A2, and A3 by A3 5 likes vehicle [3 A1 5 likes vehicle [1 A2 5 likes vehicle [2 P(A ¨ B)

P(A ¨ B)

P(A ¨ B)

P(A ¨ B)

P(A ¨ B)

P(A) 5 P(B) 5 .2 P(A ¨ B)

B 5 5the second board is green6 A 5 5the first board is green6 10,0002 3 4 p 5 .5 chosen item is flawed) 5 .1]

[P(randomly Suppose that , , ,

, , and

.

a. What is the probability that the individual likes both vehicle #1 and vehicle #2?

b. Determine and interpret .

c. Are A2 and A3 independent events? Answer in two different ways.

d. If you learn that the individual did not like vehicle #1, what now is the probability that he/she liked at least one of the other two vehicles?