Final answer:
To find the probability of drawing a 2 followed by a king without replacement from a standard deck, we multiply the probability of drawing a 2 (4 out of 52) by the probability of drawing a king after a 2 is drawn (4 out of 51).
Step-by-step explanation:
The question involves calculating the probability of two independent events occurring in sequence when drawing from a standard pack of playing cards without replacement. To find the probability that the first card is a 2 and the second is a king, we multiply the probability of each event occurring separately. There are 4 twos and 4 kings in a standard 52-card deck.
For the first card to be a two: P(2) = 4 out of 52.
For the second card to be a king, after the first card is a 2: P(King | 2) = 4 out of 51, since one card (the 2) has already been removed from the deck.
The combined probability is therefore: P(2 and then King) = P(2) x P(King | 2) = (4/52) x (4/51).