How many socks do I have to remove in order to guarantee that I remove 2 socks of the same color?

So in order to get at least two socks on the same color, you need to pick at least 7 socks. It’s a simple application of the Pigeon hole principle.

How do you find the probability of a sock?

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 probability of the event of getting 2 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.

What is the probability that both socks are red?

Assuming that, the probability that the second will be red is 1/9 as there will only be 1 red left among the remaining 9. So the probability that the pair will be red is the multiplication of the two: 1/5 X 1/9 = 1/45.

How many socks do you need to match a pair?

The answer is, of course, three socks. (The first two socks could match, but if not, the third sock is guaranteed to match one of the others). Above are all eight possible combinations of socks possible.

How many socks must be randomly removed from the drawer to ensure that 3 of every colored sock have been drawn?

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 probability that everyone has a pair of socks of matching color?

Chances of everyone having matching socks: So, the probability is 384/8!

What is the probability of selecting a matching pair of solid socks one choice after another?

Of these 66 2-sock combinations, 6 of them would correspond to the matched pairs of socks. Therefore the probability of getting a matched pair would be 6/66 or 1/11 ( 0.090909…)

How many socks is 3 pairs?

3 as 6 socks have 3 pairs.

How many socks must be taken out?

https://www.youtube.com/watch?v=AtqkLBZv6t8