Three cards are dealt from a shuffled standard deck of playing cards.
What is the probability that the three cards dealt are, in order, an ace, a face card, and an 8? (A face card is a jack, queen, or king.)
There are 52 cards in a standard deck, so the probability of drawing an ace on the first card is 4/52.
After drawing an ace, there are 51 cards remaining in the deck, so the probability of drawing a face card on the second card is 12/51.
After drawing an ace and a face card, there are 50 cards remaining in the deck, so the probability of drawing an 8 on the third card is 4/50.
Therefore, the overall probability of drawing an ace, a face card, and an 8 in order is:
(4/52) * (12/51) * (4/50) = 0.0001813
So, the probability is approximately 0.01813%.