document.write( "Question 1106784: A basket contains 18
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document.write( "eggs, 4
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document.write( "of which are cracked. If we randomly select 8
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document.write( "of the eggs for hard boiling, what is the probability of the following events?
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document.write( "a. All of the cracked eggs are selected.
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document.write( "b. None of the cracked eggs are selected.
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document.write( "c. Two of the cracked eggs are selected. \n" );
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Algebra.Com's Answer #721768 by Boreal(15235) You can put this solution on YOUR website! All are cracked \n" ); document.write( "one way is 4/18*3/17*2/16*1/15*1*1*1*1=0.0003, \n" ); document.write( "But, the numerator may be ordered in different ways, 8C4, which is 70. The product is 0.0270\r \n" ); document.write( "\n" ); document.write( "None cracked is way of choosing 8 from 14, or 3003. The probability is 3003/43758=0.0686\r \n" ); document.write( "\n" ); document.write( "Two of the cracked eggs are selected, 4C2*14C6/18C8, the numerator the ways to choose 2 from 4 cracked and 6 from 14. \n" ); document.write( "This is 0.4118. \n" ); document.write( " \n" ); document.write( " |