Question 1090873: Kindly help me solve this.
The mystery box contains 6 brown and 4 white envelopes. If 2 envelopes are chosen randomly, the chance that both would be the same color is
Select one:
a. 1/2
b. 1/10
c. 7/15
d. 2/9
Thank you
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! Let us say the envelopes are marked so we can tell them apart.
Somewhere, somehow, the brown ones are labeled as B1, B2, B3, B4, B5, and B6,
while the white ones are labeled W7, W8, W9, and W10.
With  envelopes, you can make
 different sets of two envelopes that could be chosen randomly.
Some of those sets will be made up of two white envelopes;
some will be made of two brown ones,
and some will be made up of one of each color.
How many pairs of each kind.
With  brown envelopes, there could be
 different sets of two brown envelopes.
With  white envelopes, there could be
 different sets of two white envelopes.
So, among the  different possible pairs of envelopes
that are equally likely to be the chosen pair of envelopes, there are
 consisting of two brown envelopes,
consisting of two white envelopes,
 consisting of two envelopes of the same color, and
 consisting of two envelopes of different colors.
That means that the chance that both envelopes would be the same color is
 .
If you like to see it represented graphically:
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