Acard is drawn from a standard deck. which will have the greater probability, that the card is a 10 given that it is black or that the card is black given that it is a 10?

There are 52 cards in a standard deck, 26 of which are black. The probability of drawing a 10 from the 26 black is 2/26 (or 1/13). Now, there are four 10's in a deck of 52 and 2 of those are black. The probability of drawing a black card from the four 10's is 2/4 (or 1/2) There is more chance of drawing a black given that it is a 10 than drawing a 10 given it is black. Hope this helps!