How many socks must the woman select to be sure of having two socks of the same Colour?

To ensure a matching pair you need to add 1 more sock. If the first 2 were the same color, you have a pair. If the first 2 were different colors, the 3rd sock will match one of the first 2. So with 3 socks, you are guaranteed that at least 2 of them will be the same color.

What is the probability of getting a pair of matching socks?

The probability of picking a pair of white socks is also 1/2 of 11/23, meaning in order to get the probability of picking any matching pair, you add these two together. The final probability of picking a matching pair of socks is 11/23, or 47.8 percent.

What is the minimum number of socks?

There is no sock alike, so you can’t get a pair” is probably correct. However if the question is to get two of the same type (of which there are two), then the only correct answer is 11. That is the MINIMUM number to ENSURE you have a pair–all probability aside.

How many socks are in a sock drawer?

Your sock drawer only contains 18 white socks and 18 blue socks. How many times do you need to reach inside the drawer and take out a sock to guarantee a matching pair? Answer: Three times. On the third time, you’ll get either a white or a blue sock to match with one of the other two you’ve already grabbed.

How many socks does Cathy have in her drawer?

Cathy has twelve black socks and twelve white socks in her drawer. In complete darkness, and without looking, how many socks must she take from the drawer in order to be sure to get a pair that match?

How many pairs of black socks are there?

Socks do not come in in left and right, so any black will pair with any other black and any white will pair with any other white. If you have three socks and they are either colored black or white, then you will have at least two socks of the same color, giving you one matching pair.

When do you have n colors of socks?

When you have N colors of sock, to be sure of getting at least one pair, you will have to pick N+1 socks.

How many socks are in your sock drawer?

If your sock drawer has 6 black socks 4 brown socks 8 white socks and 2 tan socks how many socks would you have to pull out in the dark to be sure you had a matching pair? The answer is 5 socks. There are only 4 different colored socks, so you could only grab a maximum of 4 socks before you would double up on colors.

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 in Your Room?

Either way, you have a pair. It is totally dark in your room there are 20 black socks and 20 blue socks in the drawer of the chest how many socks must you take in order to be sure that you have one pair of the same color? 2

What is the probability of a match after picking 2 socks?

A drawer has 4 red socks and 2 blue socks. What is the probability of a match after picking 2 socks? If you picked a red sock 4 6, if you picked another one it would be 3 5 as the total number of socks has gone down as well as the number of red ones.