There are 5 blue, 4 red, 6 magenta, and 3 yellow chips in a bag. One chip is selected at random and then a second is chosen without replacement. Find the probability that the second event will occur.
a) The second was red given that the first was blue.
b) The second was yellow given the first was magenta.
c) The second was green given that the first was red.
d) The second was red given the first was not red.