Question

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

Answer 1

The probability is 0.05 or 5%

Explanation:

Of 6 cars the probability of 3 being a lemon is:

[tex]frac{{3!3!}{6!}} [\tex]

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

[tex]frac{{3!3!}{6!}} [\tex]