The first card Jon draws from a standard deck is a face card (jack, queen, or king). He keeps this card and draws a second one. If he draws at random, what is the probability that Jon now has a pair of kings? Answer as a reduced fraction.

pr(king,king)=1/52*(3/51)

To find the probability that Jon now has a pair of kings after drawing the first card, we need to determine the number of favorable outcomes (getting a pair of kings) and the total number of possible outcomes.

First, let's determine the number of favorable outcomes. Since Jon already has one face card and wants to get a pair of kings, he needs to draw one of the remaining three kings from the deck. There are a total of four kings in a standard deck, but one of them is already in his hand, so he only needs to draw one of the remaining three kings.

Next, let's calculate the total number of possible outcomes. Jon already has one card, so there are 51 cards left in the deck when he draws the second card.

Therefore, the probability of Jon getting a pair of kings is:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
= 3 / 51
= 1 / 17

So, the probability that Jon now has a pair of kings is 1/17.