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Combinations: Selecting Blocks

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Suppose that a box contains 5 RED blocks, 3 BLUE blocks, and 2 GREEN blocks. Suppose that 8 are drawn one after another without replacement. Then WHAT is the EXPECTED number of BLUE blocks drawn?

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Solution Summary

Step-by-step instructions are given for the computations. A table presenting all of the computations is shown.

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Note that there are 3 BLUE blocks and 7 NON-blue blocks. Since there are 3 BLUE blocks, the number of BLUE blocks drawn cannot be more than 3. Since there are 7 NON-blue blocks, if 8 blocks are drawn without replacement, there must be at least 1 blue block.

5 + 3 + 2 = 10
There are a total of 10 blocks.

Use combinations to compute the ...

Solution provided by:
J Pye, MSc
Education
  • MSc, California State Polytechnic University, Pomona
  • MBA, University of California, Riverside
  • BSc, California State Polytechnic University, Pomona
  • BSc, California State Polytechnic University, Pomona
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