document.write( "Question 298176: What is the probability of tossing a number cube 12 times and getting exactly six 6's?
\n" ); document.write( "My answer key says .0066, but I get a different answer. I thought it would be 1/6 to the power of 6, or 1/3 to the power of 6.
\n" ); document.write( "Can you please help?
\n" ); document.write( "Thank you very much!!! \n" ); document.write( "
Algebra.Com's Answer #214589 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
What is the probability of tossing a number cube 12 times and getting exactly six 6's?
\n" ); document.write( "My answer key says .0066, but I get a different answer. I thought it would be 1/6 to the power of 6, or 1/3 to the power of 6.
\n" ); document.write( "----------------------------
\n" ); document.write( "There are many ways for the six 6's to show up in the 12 tosses.
\n" ); document.write( "Each way has probability (1/6)^6(5/6)^6 = 0.000007178....
\n" ); document.write( "and there are 12C6 = 924 ways this can happen.
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\n" ); document.write( "So the probability of getting exactly six 6's is 924*0.000007178..
\n" ); document.write( "= 0.0066
\n" ); document.write( "---
\n" ); document.write( "The formula is 12C6(1/6)^6(5/6)^6
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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