Probability question of a deck of cards

Question

what is the probability of drawing a black and a 5 without replacing

Answer 1

Assuming the first card is neither 5 of clubs , nor 5 of spades

26/52 * 4/51 = 1/2*4/13 = 2/13

Otherwise

26/52 * 3/51 = 1/2*1/17 = 1/34

2/13 + 1/34 = 81/442 = 18.32+%