What is the probability that the pair of socks taken from the drawer?

What is the probability that the pair of socks taken from the drawer?

28 / 780 = 0.036 probability of drawing a pair when drawing 2 socks from the drawer.

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.

What is the probability that both socks are black?

There is a 12 out of 24 chance that the first sock you pick is black, because there are 12 black socks out of the total 24 socks. Simplified, this is a 1 out of 2, or 50 percent, probability. But when it comes to drawing a second black sock, the odds have now changed to 11 out of the remaining 23 socks.

How many socks I must pull out of the drawer to guarantee that I have a matching 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).

How to calculate the probability of matching sock from a?

A drawer contains 6 red socks, 4 green socks, and 2 black socks. Two socks are chosen at random. What is the probability that they match? Here are all the different ways of pairing one sock with another different one, arranged systematically: “Random” in this context means that each pairing is equally likely.

How many pairs of socks are in a drawer?

A drawer contains eight different pairs of socks. If six socks are taken at random without replacement, compute the probability that there is at least one matching pair among these six socks. Hint: compute the probability that there is not a matching pair first.

How to find the probability of a color match?

Here are all the different ways of pairing one sock with another different one, arranged systematically: “Random” in this context means that each pairing is equally likely. Therefore, to find the probability of a color match, count the color-matched pairs and divide by the total.

How many pairs of socks can you get in the first round?

In the first round you cannot get a matching pair obviuosly (as you’d need 2 socks for a pair) so the number of good socks is 16. In the second round you have only 15 socks left, however one of those is of the same color as the one you already have and therefore a bad sock.