Of six cars produced at a particular factory between 8 am and 10 am last Monday morning, test runs revealed three of them to be
"lemons." Nevertheless, three of the six cars were shipped to Dealer A and the other three to Dealer B. Dealer A received all three lemons. What is the probability of this event occurring if, in fact, the three cars shipped to Dealer A were selected at random from the six produced
Picking the first one a lemon is [tex]frac{{3}{6}} [\tex] , the second one also lemon [tex]frac{{2}{5}} [\tex] and the third one [tex]frac{{1}{4}} [\tex].
[tex]frac{{3*2*1}{6*5*4}} [\tex] can be rearanged as
The remaining weight of the empty bottle is 0.5 because each third of the bottle weighs 2.5 pounds and of the remaining juice and the bottle was 3 pounds 2.5 subtracted from 3 is 0.5