Final answer:
The probability of drawing a jack first and a three second from a standard deck of cards without replacement is 2/663.
Step-by-step explanation:
To find the probability of drawing a jack first and a three second from a standard deck of cards without replacement, we need to calculate the probability of each event. First, there are 4 jacks in a deck of 52 cards, so the probability of drawing a jack first is 4/52. After drawing a jack, there are 51 cards left, including 4 threes. So, the probability of drawing a three second is 4/51. To find the probability of both events happening, we multiply the probabilities: (4/52) * (4/51) = 16/2652 which simplifies to 2/663.