SOLUTION: A box contains 2 white and 3 blue identical marbles. If two marbles are picked at Random, one after the other, without replacement, What is the probability of picking two marbles o

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Question 1088666: A box contains 2 white and 3 blue identical marbles. If two marbles are picked at Random, one after the other, without replacement, What is the probability of picking two marbles of different colours?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I can label those marbles so that I could tell them apart
(B1, B2, B3, will be the blue ones; W4, W5 the white ones).
There are 5%2A4%2F2=10 possible pairs of marbles
that I will be able to distinguish from one another
(representing 5%2A4=20 ordered pairs).
There is only 1 of those pairs made of two white marbles,
and there are only 3 of those pairs made of two blue marbles.
That is 1%2B3=4 pairs with matching marbles (same color).
The remaining 10-4=6 possible pairs of marbles
are made up of two marbles of different colors.
The possibility of that happening is 6%2F10=0.6=%2260%25%22 ,
because 6 of the 10 possible pairs of marbles were not matching colors.