Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.  Suppose that 6 are drawn one after another without replacement.   What is the PROBABILITY that exactly  3 are RED?

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Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.  Suppose that 6 are drawn one after another without replacement.   What is the PROBABILITY that exactly  3 are RED?

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It is given that the box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.  

We are drawing 6 blocks one after another without replacement and we have to find the probability that exactly  3 are RED. It means that other 3 maybe BLUE or GREEN.

Total number of red blocks=5

Total no. of BLUE+GREEN blocks= 4+3=7

Total number of blocks in the box= 5+4+3=12

 

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