It is dark in my bedroom and I want to get two socks of the same color from my drawer , which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?
Question
It is dark in my bedroom and I want to get two socks of the same color from my drawer , which contains 24 red and 24 blue socks. How many socks do I have to take from the drawer to get at least two socks of the same color?
Solution
You need to take out three socks from the drawer. Here's why:
- When you take out the first sock, it can be either red or blue.
- When you take out the second sock, it can be either the same color as the first sock or the other color.
- If the second sock is the same color as the first one, then you already have two socks of the same color. But if it's not, then you have one sock of each color.
- So, you take out a third sock. Regardless of its color, now you will definitely have at least two socks of the same color because you only have two colors of socks.
So, the answer is three socks.
Similar Questions
It is late at night and you walk into your room to get two socks of the same color from your drawer. The drawer contains 24 white and24 black socks. How many socks will you have to take from the drawer to get at least two socks of the same color?
Your sock drawer has four white socks, two brown socks, and six black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot.Answer
In a drawer there are 4 white socks, 3 blue socks and 5 grey socks. Two socks are picked randomly. What is the possibility that both the socks are of same color?0 A. 4/11B. 1C. 2/33D. 19/66
My drawer has n pairs of socks (so 2n socks). The socks came backfrom the laundry, surprisingly with no sock missing! But they are allseparated. Each sock is labeled either “left” or “right”. Assume thatI grab some socks blindly, how many do I need to guarantee a goodpair?• If I must use a correct pair of socks (two that match). Show howto use the concept of pigeonhole to find the answer.• If I am happy to use any left sock with any right sock (this is notpigeonhole, but it has some logic to it).
A box contains 9 socks, of which 4 are red and 5 are blue. We draw two socks from the box.What is the probability that they are of the same colour?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.