Face cards are removed from a standard deck of cards and the rest are set aside. two cards are drawn at random from the face cards. once a card is selected, it is not replaced. Find each possibility.

P(jack and then king)?
P(two black cards) answer 1/2 ?

there are 12 face cards

P(J,K) = 4/12 * 4/11
P(b,b) = 6/12 * 5/11

To find the probabilities of the given events, we need to determine the number of favorable outcomes and possible outcomes.

1. P(jack and then king):
When the face cards are removed, we are left with a deck containing only 8 face cards: 4 jacks and 4 kings. Since each card is selected without replacement, the number of favorable outcomes is 4 (one jack followed by one king). The total number of possible outcomes is the product of the remaining face cards after drawing the first card, which is 7. Thus, the probability is:

P(jack and then king) = favorable outcomes / possible outcomes
= 4 / 7

2. P(two black cards):
Since we have removed the face cards from the deck, we are left with only black cards, which are clubs and spades. There are 2 clubs and 2 spades in the remaining deck. Again, as the cards are selected without replacement, the number of favorable outcomes for drawing two black cards is:

Number of favorable outcomes = choosing 2 cards from the 4 black cards = C(4, 2) = 6

The total number of possible outcomes is calculated by choosing any 2 cards from the remaining deck, which can be done in C(8, 2) ways. Therefore, the probability is:

P(two black cards) = favorable outcomes / possible outcomes
= 6 / C(8, 2)
= 6 / 28
= 3/14

So, the correct answer for P(two black cards) is 3/14, not 1/2.