SOLUTION: A drawer contains 6 black socks, and 8 white socks unpaired. IN the dark a man takes out two socks one after the other Using a probability tree determine the probability that the m

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Question 942598: A drawer contains 6 black socks, and 8 white socks unpaired. IN the dark a man takes out two socks one after the other Using a probability tree determine the probability that the man took out two socks of the same color?
Answer by mathmate(429) About Me  (Show Source):
You can put this solution on YOUR website!

Given:
A drawer contains 6 black socks and 8 white socks (14 in all).

Find:
Randomly pick two socks and they form a pair of the same colour.

Solution:
The tree diagram is attached.

Probability of getting a pair of black socks = 30%2F182
Probability of getting a pair of white socks = 56%2F182
probability of getting a pair of the same colour = %2830%2B56%29%2F182+=+86%2F182+=+43%2F91

Answer:
Probability of getting a pair of the same colour = 43%2F91