I can't figure out this problem.
"There are 30 white socks, 22 black socks, and 14 blue socks scattered across the floor of a dark room. How many socks would you have to pick up before you had a matching pair?"
So far I understand I have a 45.45% chance of drawing a white sock, a 33.33% chance of drawing a black sock, and a 21.21% chance of drawing a blue sock. I can't figure out if there is a definitive answer or if it simply comes down to probability and I would have to pick up all of the socks.
Thank you in advance!
HINT: Can 4 socks of 3 types be all unpaired? Why?