I own nine shirts: solid red, red plaid, solid blue, blue and white stripes, sol
ID: 3303573 • Letter: I
Question
I own nine shirts: solid red, red plaid, solid blue, blue and white stripes, solid green, solid yellow, yellow with a black crooked line, solid black, and solid white. I own five pairs of shorts: red denim, blue denim, blue polyester, black cotton, and khaki denim. I own six pairs of socks: red striped, solid red, solid white, black and green argyle, blue and purple paisley, and solid gray. If I choose one shirt, one pair of shorts, and one pair of socks at random (with my eyes closed), what is the probability that every item I choose has some red in it?
Please show all your work step by step.
Explanation / Answer
There are nine shirts out of which two are red.
Therefore Probability of selecting red shirts
P(Red shirt) = 2/9
There are five pairs of shorts out of which one are red.
Therefore Probability of selecting red shorts
P(Red short) = 1/5
There are six pairs of shocks out of which two pair are red.
Therefore Probability of selecting red pair of socks
P(Red socks) = 2/6
probability that every item choose has some red in it = P(Red shirt) + P(Red short) + P(Red socks) = 2/6
=2/9 +1/5 +2/6
= 0.374