document.write( "Question 1020746: The student body government is composed of 4 sophomores 5 juniors and 6 seniors. What is the probability that a committee of 6 students will contain the following?
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Algebra.Com's Answer #636623 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi  
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document.write( "T =  4So, 5Jr, 6S
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document.write( "What is the probability that a committee of 6 students will contain the following?
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document.write( "P(0f an event) = Number of favorable outcomes/ Total number of outcomes
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document.write( "Examples below based on combination probability:  nCr= n!/[r!(n-r)!]
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document.write( "a.) 2 sophomores  P = (4C2)(11C4) / 15C6 = 6/5005
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document.write( "b.) 2 juniors and 3 seniors  P = (5C2)(6C3)(4C1)/ 15C6  = 10*20*4/5005= 800/5005
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document.write( "c.) at least 4 seniors P = (6C4)(11C2)/15C6  + (6C5)(11C1)/15C6 + (6C6)(11C0) 15C6
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document.write( "I use an inexpensive Casio fx-115 ES plus Calculator for Statistical Problems \n" );
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