Final answer:
The probability of drawing two kings one by one without replacement from a 52-card deck is 1/221, found by multiplying the individual probabilities of drawing a king each time.
Step-by-step explanation:
To calculate the probability that both cards drawn from a standard deck of 52 cards are kings, we consider the probability of drawing a king both times without replacement. Initially, there are four kings in the deck of 52 cards, resulting in a probability of 4/52 for drawing a king on the first draw. Since one king has been drawn and is not replaced, there are now three kings left in a deck of 51 cards, giving a 3/51 probability of drawing a king on the second draw.
Now, to find the probability of both events occurring, we multiply the probabilities of each event:
- Probability of first card being a king: 4/52
- Probability of second card being a king after the first is drawn: 3/51
Thus, the probability that both drawn cards are kings is calculated as:
(4/52) × (3/51)
This results in 1/221 when simplified. Therefore, the probability of both cards being kings is 1/221.