Question

In your sock drawer, you have a ratio of 5 pairs of blue socks, 4 pairs of brown socks, and 6 pairs of black socks. In complete darkness, how many socks would you need to pull out to definitely get a matching pair of the same color?

Answer 1

no calculation is required only logic

in worst case scenario
1 st pull-blue sock
2nd pull-brown sock
3rd pull-black sock

now in 4 th pull we will get any colour of the 3 and the matching pair will be made good enough to wear

so answer is 4

Answer 2

4 socks would be needed to pull out to definitely get a matching pair of the same color.

Given:

In your sock drawer, you have a ratio of 5 pairs of blue socks, 4 pairs of brown socks, and 6 pairs of black socks. In complete darkness

To find:

how many socks would you need to pull out to definitely get a matching pair of the same color?

Solution:

We have been given that there are three different types of socks.

Suppose, you first take out a sock of blue color.

Now, taking the extreme chance, you pull out 2nd sock of brown color

Now, third time the sock which came out is of black color.

Now, we have one sock of each type :- blue, brown and black.

Now, when we will take out the fourth sock, it will be one of the colors of blue, brown or black.

So, the fourth pair of sock will definitely be matched with one of the pair.

The fourth sock can be of any color .

Hence, the required number is 4.

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