How many socks must you take from the drawer to be sure of taking a matching pair of the same Colour?
The answer is four. Although there are many socks in the drawer, there are only three colors, so if you take four socks then you are guaranteed to have at least one matching pair.
What is the smallest number of socks you must take out?
What is the smallest number of socks you must take out of the drawer in order to be certain that you have a pair that match? Solution: Three socks.
What is the probability that we get at least two socks of the same color?
Picking the first sock of the two with the same color has the probability of 2/6, and therefore picking the second sock with the same color has a probability of (2−1)/(6−1)=1/5 respectively.
How many white socks and how many red socks?
The third sock you pull will also be either red or white and you will have a matching pair of either red or white socks (reason for my “maximum of three”). If you have 8 black socks 8 blue socks 8 green socks 8 brown socks and pull out one sock at a time how many socks would you have to pull out in the dark to be sure you had a matching pair?
How many pairs of socks are the same colour?
You will either get three the same colour or two one colour and one another colour. That’s the only combination that can happen so three is a safe number for matching socks. Half are blue and half are red. 1/2 x 1/2 = 1/4 1/4 of 20 is 5. So the probability is if you took out five socks you would get a pair.
What’s the difference between red and blue socks?
Let’s say the first sock is red. It doesn’t really matter; the same applies to blue. If the next sock is also red, you have a pair. Done. If it’s blue, then you take the third sock. If it’s blue, you have a pair with the last one. If it’s red, you have a pair with the first one. Or imagine you have large numbers of socks of n colors.
How many pairs of socks are in my drawer?
In my drawer, there are 10 blue socks and 10 red socks. Without looking, how many socks do I need to take from my drawer if I want to be sure to have a pair of the same color?
Is it possible to have two pairs of red socks?
With two socks it is quite possible to have one each red or blue. But with three there is always a chance of matching pair. Since either you will have chosen three of the same color, or a matching pair and one odd one. Note that any non-zero number of blue socks and red socks require exactly three picks to guarantee a pair.
Are there 10 black socks and 10 white socks?
There are 10 black socks and 10 white socks in a drawer. Now you have to go out wearing your shoes. So how many maximum number of times you need to remove the sock from drawer so that you can go out? You can remove only 1 sock at a time. Obviously, you can’t go outside wearing different socks!
In my drawer, there are 10 blue socks and 10 red socks. Without looking, how many socks do I need to take from my drawer if I want to be sure to have a pair of the same color?
What is the probability of getting a matching pair of socks?
In a drawer $r$ red, $b$ blue, and $g$ green socks. Two drawn at random. What is the probability of getting a matching pair? Suggestion Do not try solving the whole problem at once but try to think of more manageable subproblems. Solution 1 To start with, instead of looking for a matching pair, let’s find the probability that both socks are red.
