Final answer:
The probability of drawing a club card, given that it is a black card, is 1/2. The probability of drawing a jack card, given that it is a black card, is 1/13.
Step-by-step explanation:
To find the probability that a card drawn from a deck of 52 playing cards is a club given that it is a black card, we need to consider the number of black cards that are clubs and divide it by the total number of black cards.
There are 26 black cards in a deck of 52 playing cards. Out of those, there are 13 clubs, which are also black cards.
Therefore, the probability of drawing a club card, given that it is a black card, is 13/26 or 1/2.
The probability of drawing a jack card, given that it is a black card, can be calculated similarly. There are 4 jacks in a deck of 52 playing cards, and out of those, 2 are black jacks.
Therefore, the probability of drawing a jack card, given that it is a black card, is 2/26 or 1/13.