There are ten socks of each of the following colors in a drawer: blue, green, red, yellow, and white--a total of 50 socks. If the socks are randomly distributed in the drawer, and you are blindfolded, what is the minimum number of socks you must draw from the drawer in order to be certain that you have at least two socks of the same color?
Follow-up question: if you were in the same situation as above, how many socks must you draw from the drawer in order to be certain you have at least two socks of different colors?
2007-01-12 09:41:58 · 7 answers · asked by operaphantom2003 4 in Education & Reference ➔ Trivia
Logically speaking--don't you only need to draw 2 socks since you are blindfolded and they are all black then?
2007-01-12 09:51:55 · update #1
six to the first question, eleven to the second
That you are blindfolded is irrelevant. Each of the individual socks still absorb or reject the same frequencies of light. They do not all turn black!!!
2007-01-12 09:45:07 · answer #1 · answered by Jim C 4 · 0⤊ 1⤋
I'd say you would need to draw 6 socks, because there are five of each kind... so to get another of the same color, pick six.
Your theory about picking two is very interesting, but I don't think that's what the question means.
2007-01-12 19:18:52 · answer #2 · answered by Anonymous · 0⤊ 1⤋
If you draw 6 socks you'll have to have at least 2 of the same color.
If you draw 11 sock you will have at least 2 colors.
2007-01-12 17:45:39 · answer #3 · answered by Kris 4 · 1⤊ 1⤋
To get at least two of the same color, you must draw six socks. To get at least two different colors you must draw eleven.
2007-01-12 17:46:04 · answer #4 · answered by Adriana 4 · 0⤊ 1⤋
hmmm 6 for the first and 11 for the second
2007-01-12 20:48:09 · answer #5 · answered by PureSophistication 2 · 0⤊ 1⤋
A. I'm an idiot.
B. 11
2007-01-12 19:01:25 · answer #6 · answered by Mona H 3 · 0⤊ 1⤋
twenty five
2007-01-12 22:35:57 · answer #7 · answered by denny h 1 · 0⤊ 1⤋