Question

A man entersa room with no light. 5 pairs of socks of different colors are kept in the room. The man picks 6 socks

Question:1) What is the probability that he has a pair of same color?
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Answer 1

Answer:

0.6

Step-by-step explanation:

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Answer 2

Given : A man enters a room with no light. 5 pairs of socks of different colors are kept in the room. The man picks 6 socks  

To Find : Possibility of finding matching pair

If he brings just 4 socks and finds all to be of different colors. What is the minimum number of socks he has to

pick from the remaining 6 to make sure to have a matching pair?

Solution:

5 pairs of socks of different colors  

The man picks 6 socks  

Even if 5 Socks are of different color , 6th socks will be of one of those 5 color

Hence  he will  get atleast one matching  pair

Probability  of getting matching pair  =  1

he brings just 4 socks and finds all to be of different colors.

There are total 5 colors

Next Sock picked can be of one of those 4 colors or  5th color

Now either he has matching pair or all 5 color socks

one more picking of socks will get him  one matching pair

he has to  pick 2 socks from the remaining 6 to make sure to have a matching pair

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