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?Options :351None
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?Options :351None
Solution 1
The answer is 3. Here's why:
Step 1: You open the drawer and take out a sock. We don't know the color because it's dark.
Step 2: You take out a second sock. There's a chance it could be the same color as the first sock, but it could also be a different color.
Step 3: You take out a third sock. At this point, you are guaranteed to have at least two socks of the same color. This is because you only have two colors of socks, red and blue. So, by the third sock, you must have at least two of one color.
Solution 2
The answer is 3. Here's why:
Step 1: You open the drawer and take out a sock. We don't know the color because it's dark.
Step 2: You take out a second sock. There's a chance it could be the same color as the first sock, but it could also be a different color.
Step 3: You take out a third sock. At this point, you are guaranteed to have at least two socks of the same color. This is because you only have two colors of socks, red and blue. So even if the first two socks were different colors, the third sock would have to match one of them.
Solution 3
The answer is 3. Here's why:
Step 1: You reach into the drawer and pull out a sock. We don't know what color it is because it's dark.
Step 2: You reach into the drawer and pull out a second sock. There's a chance it could be the same color as the first sock, but it could also be a different color.
Step 3: You reach into the drawer and pull out a third sock. At this point, you are guaranteed to have at least two socks of the same color. This is because you only have two colors of socks, red and blue. So even if the first two socks you pulled out were different colors (one red and one blue), the third sock you pull out must be the same color as one of the first two.
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?
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
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
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?
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).
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.