Rudy examined his rack of clothes-five shirts and four ties—trying to decide what combination to wear. His five shirts included three solids
and two patterns. His three solid-color shirts were blue, green,
and
white. One of his two pattemed shirts was a blue and green print,
and the other was a red and white stripe. He needed to match a shirt
with a tie. His solid-color ties were white, blue, and yellow, and his
pattemed tie was a green and blue stripe. Rudy has two rules of good
taste: You don't wear two solids of the same color, and if you wear a
pattem, match it with a solid that is the same color as one of the colors
of the pattern. Given those conditions, what is the probability that
Rudy will pick out a combination that includes blue?