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What is the probability that both socks are white?

Posted on May 23, 2020 by Author

Table of Contents

  • 1 What is the probability that both socks are white?
  • 2 How many socks do we need to draw out of the drawer to be sure that we have a pair of blue socks?
  • 3 What is the minimum number of socks?
  • 4 How many pairs of socks should you have in a pair?
  • 5 How many socks are left in the drawer that are not red?

What is the probability that both socks are white?

(2) The probability is greater than 0.4 that both socks will be white.

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.

How many socks do we need to draw to ensure we have 2 socks of the same color?

To guarantee a matching pair, you have to pull out three socks. This is because there are only two colours: black and white.

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How many socks do we need to draw out of the drawer to be sure that we have a pair of blue 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 a black sock?

As there are 13 socks of which 5 are black, the probability of getting first black sock is 513 .

What is the probability of picking a second white sock after first picking a white 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 minimum number of 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).

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

To guarantee a matching pair, you have to pull out three socks. This is because there are only two colours: black and white. So if you have three socks, at least two of them have to be the same colour.

How many socks does it take to make a pair?

So the answer to the question ‘How many socks make a pair?’ is three.

How many pairs of socks should you have in a pair?

If the first sock is black, the second one could be black, in which case you have a matching pair. If the second sock is white, the third sock will be either black and match the first sock, or white and match the second sock. Only three.

How do you know if two socks are black or white?

If the first sock is black, the second one could be black, in which case you have a matching pair. If the second sock is white, the third sock will be either black and match the first sock, or white and match the second sock.

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What is the probability of drawing 2 socks from the drawer?

For each set of socks, there are 8. 8 * 7 (7 other socks to each being matched) = 56 possible combinations in each set of socks / 2 to remove duplicates = 28 possible combinations of socks in each set. 28 / 780 = 0.036 probability of drawing a pair when drawing 2 socks from the drawer. Cheers guys!

How many socks are left in the drawer that are not red?

$\\begingroup$If you select a red sock, for example, there are 16 socks in the drawer that are not red. And then you select a yellow sock. There are 12 socks left that are neither red nor yellow.$\\endgroup$

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