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?
Question
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?
Solution
To ensure you get at least two socks of the same color, you would need to take out three socks. Here's why:
- When you take out the first sock, it can be either white or black.
- When you take out the second sock, it could be the same color as the first sock or it could be the other color.
- If the second sock is not the same color as the first, when you take out a third sock, it must be either white or black, so it will definitely match one of the first two socks you took out.
So, you will need to take out at least three socks to ensure you get two of the same color.
Similar Questions
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?
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 drawer of socks contains three black socks, four blue socks, and three grey socks. Two socks are chosen at random without replacement. Based on the given information, answer the following questions (12 and 13). What is the probability that a black pair is chosen ? Enter the answer correct to two decimal places.
A drawer contains 4 black socks, 3 white socks, and 2 red socks. One sock is drawn from the drawer and kept. Then a second sock is drawn from the drawer. What is the probability that both socks are white? Answer options with 5 options A. StartFraction 1 over 6 EndFraction B. StartFraction 1 over 8 EndFraction C. StartFraction 1 over 9 EndFraction D. StartFraction 1 over 12 EndFraction E. StartFraction 2 over 27 EndFraction
Find the probability. Please write your answer as a fraction.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
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.