How many socks must you pull out to guarantee that you have one matching pair?
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.
How do you calculate combinations?
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! * (n – r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.
How many socks do you need to draw?
Since there simply are not more than 3 colors and we already have socks of all 3 colors. So the next drawn sock must match one of the colors. And you need to find the amount ofn socks you need topull out until you have at least 2 socks of 1 category. You draw 3 times, you get 1 siock of each color. Now draw yet another sock.
What’s the probability that you have two black socks?
In that case you want the probability that you have two black socks or two white socks. If the first sock you draw is black, you want the probability that the second sock is also black. That’s 4 7. If the first is white you want the probability that the second sock is also white. That’s [math]\ [/math]
How many pairs of socks are there in a pair?
Well we now consider pairs. One pair consists of 2 socks and we draw 6 socks in total. That means we want exactly one sock out of 6 pairs (therefore 6 times ( 2 1)) and no sock out of the resulting 2 pairs (therefore the two ( 2 0) ). Of course you could just omit the ( 2 0) term as it is 1 anyway, I just put it there for illustration.
Are there 7 white socks and 4 black socks?
Originally Answered: There are 7 white socks and 4 black socks in a draw. What is the probability that 2 socks are the same colour if pulled out at random? Originally Answered: There are 7 white socks and 4 black socks in a draw. What is the probability that 2 socks are the same colour if pulled out at random?
In that case you want the probability that you have two black socks or two white socks. If the first sock you draw is black, you want the probability that the second sock is also black. That’s 4 7. If the first is white you want the probability that the second sock is also white. That’s [math]\\ [/math]
How many pairs of socks are in a drawer?
The breakdown for 36 socks is 16 and 20, so we can now get it done in at most 34 pulls. So the key is to focus on 2k+2, where k is the # of black, and B:W = 4:5. There are 7 socks in a drawer, 3 black ones and 4 red ones.
How many pairs of socks are there in the world?
You have 6 black socks and 4 blue socks. If u select two socks at random, find the probability that you select two socks of the same color.? – Quora You have 6 black socks and 4 blue socks. If u select two socks at random, find the probability that you select two socks of the same color.?
Can you draw 4 socks out of 7 socks?
Now, 4 socks are drawn at random out of which we want 2 red socks, thus the remaining 2 socks must be of black color. Number of ways we can draw 4 socks out of a pack of 7 socks is 7C4 = 7!/ (4!*3!) = 35 ways.
