You were right first time with the first one - chance of mark winning =
12/30 = 6/15 = 0.4.You failed on the chance of the shark winning, which is
(2/6 * 1) + (4/6 * 2/5) = 0.6.
(first card red or first black and second red. You failed to put in the proportion of times second card red is important.)