What is the probability that the 2 socks are 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 we draw two blue socks or two red socks from the drawer?

The chances are 100\% that the sock you draw is either blue or red. Whichever it is, there are now three socks left, only one of which matches the sock you drew. Thus the chances of your second draw being a match are 1/3. Multiplying the two together, the chances of a matched pair are 1*1/3=1/3.

What is the probability that two randomly selected socks are both blue?

So, the probability that the first will be blue is 6/10 = 3/5. Assuming the first s blue, that would leave 5 blue and the other 4 non-blue, so the probability that the second will be blue is 5/(5+4) = 5/9. Therefore, the probability that both will be is the multiplication of the two: 3/5 X 5/9 = 15/45.

How many socks must you pull out to guarantee you have a pair of orange socks?

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 you get a blue pair of socks?

The probability that the first and second socks are blue is the product of the two probabilities, about 9\% (or 9 times out of 100). With decimal places, it’s 9.0909\%.

How many socks do we need to draw to ensure we have 2 blue socks?

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)….Data.

n	Prmismatch	Prmatched
4	22.857\%	8.571\%
5	12.698\%
6	6.926\%	2.165\%
7	3.730\%

How many socks do you need to match a pair?

How many socks must you pick to absolutely guarantee that you have a pair of blue socks to wear?