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Probability of picking 2 red balls and 3 blue?

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Senior | Next Rank: 100 Posts
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by r_walid » Wed Nov 11, 2009 3:40 pm
There are 5 red balls and 10 blue balls.
if one is to pick 5 balls, What is the probability of picking 2 red and 3 blue?

please explain your reasoning.
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by getso » Thu Nov 12, 2009 12:12 am
Is it 400/1001
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by raghavakumar85 » Thu Nov 12, 2009 1:15 am
Probability = no. of desired outcomes / total no. of outcomes.

no.of desired outcomes = (5c2) x (10c3)
total no. of outcomes = (10+5)c5 = 15c5

Probability = (5c2 x 10c3)/ 15c5 = 400/1001
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by m3tm4n » Sat Nov 19, 2011 2:40 am
Hi,

I understand the use of combination formula (easy to solve btw).

But is it possible to solve this problem without using the Combination formula? Just to understand this topic.
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