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probability

by likewhoa » Wed Nov 21, 2007 3:53 pm
There are 2 bunches of red roses, 2 bunches of white roses, what is the probability that plant them in a row where two bunches of red roses are in the middle?

can anyone help solving this problem?
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by camitava » Wed Nov 21, 2007 8:46 pm
likewhoa, take the two bunches as a single unit as u have to plant it in the middle. So there is 3 positions coming into picture in which only 1 is a way to plant the red bunches in the middle. So probability is = 1/3
Correct me If I am wrong


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Amitava
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by samirpandeyit62 » Wed Nov 21, 2007 9:32 pm
answer shouls be 1/6
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Samir
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by camitava » Thu Nov 22, 2007 7:32 am
Sorry Sanir! I understood my mistake. Yop! It should be 1/6. Sorry once again.
Correct me If I am wrong


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Amitava
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by Jimat » Thu Nov 22, 2007 11:21 am
Consider each bunch as a single unit.

Total of ways to sort 4 bunches in a road = 4x3x2x1 = 24

Total of ways to sort the 2 white bunches in the middle = 2.
Total of ways to sort the other 2 red bunches on the sides = 2.

So the probability to sort 2 white bunches in the middle is (2+2)/24 = 1/6.

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Jimat
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