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
Question:2) 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?
Answers
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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