Answer:
The probability that you'll end up with socks that aren't blue is .
Step-by-step explanation:
The pieces of clothing available:
X = {shirt, pants, socks and hat}
The color options:
Y = {purple, blue and orange}
So, if a person picks a shirt he/she has 3 color options.
Similarly for pants, socks and hat there are 3 color options each.
That makes 12 possible pieces of clothing.
That is, there are 12 total options available.
Now, compute the probability of selecting a socks as follows:
Compute the probability of selecting the color blue as follows:
Compute the probability of selecting a socks that are not blue as follows:
Thus, the probability that you'll end up with socks that aren't blue is .