SOLUTION: kathy has 10 red socks, 12 green socks, and 26 purple socks in her drawer. in the morning she begins taking a sock out of the drawer one at a time. how many socks must she take ou

Algebra ->  Probability-and-statistics -> SOLUTION: kathy has 10 red socks, 12 green socks, and 26 purple socks in her drawer. in the morning she begins taking a sock out of the drawer one at a time. how many socks must she take ou      Log On


   



Question 200761: kathy has 10 red socks, 12 green socks, and 26 purple socks in her drawer. in the morning she begins taking a sock out of the drawer one at a time. how many socks must she take out of the drawer to ensure that she was matching green socks?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that the worst possible case occurs.
First, she picks all purple socks. That means she
picked 26 times. Then she picks all red socks.
That is 10 more picks without a green sock.
She has picked 36 socks, and now only green are left
The next 2 picks are sure to be a pair of green socks.
That comes to 26+%2B+10+%2B+2+=+38 picks that will
ensure, in the worst case, that she gets a green pair.