Final answer:
To calculate the probability of drawing 3 aces and 2 kings from a standard 52-card deck, multiply the probabilities of each individual draw.
Step-by-step explanation:
To calculate the probability of drawing 3 aces and 2 kings, we need to consider the total number of possible outcomes and the number of favorable outcomes.
There are 4 aces and 4 kings in a standard 52-card deck, so the probability of drawing an ace on the first draw is 4/52. After drawing an ace, there are now 3 aces and 4 kings left, so the probability of drawing another ace is 3/51. Similarly, the probability of drawing a king on the third draw is 4/50, followed by a king on the fourth draw with a probability of 3/49. Finally, on the fifth draw, there is only one king left, so the probability of drawing it is 1/48.
To find the probability of all these events occurring together, we multiply the individual probabilities: (4/52)(3/51)(4/50)(3/49)(1/48) ≈ 0.000181818.
So, the probability of drawing 3 aces and 2 kings from a standard 52-card deck is approximately 0.000181818, rounded to six decimal places.