A drawer contains 10 pairs of socks. Each pair is either black or white. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that you have 3 pairs of all the same color socks?

Respuesta :

Answer:

6

Step-by-step explanation:

The minimum number of socks that can be drawn is 6.

What is sample space?

A sample space is a collection or a set of possible outcomes of a random experiment.

given:

Total socks= 10 pair of socks

As, we want to ensure the 3 pairs are of same color.

The pair can have either white or black socks.

So, there are minimum of ways

= 3!( 3-2)!

=3*2

=6

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