document.write( "Question 975587: A restaurant is open 7 days a week. 3 employees get to select 1 day off next week randomly. What is the probability that all three select the same day, given that all three select a day beginning with the same letter? \n" ); document.write( "

Algebra.Com's Answer #597733 by Edwin McCravy(20055) $\"\"$ $\"About$

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A restaurant is open 7 days a week. 3 employees get to select 1 day off next
\n" ); document.write( "week randomly. What is the probability that all three select the same day,
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document.write( "Suppose the 3 employes are Tom, Dick, and Harry.\r\n" );
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document.write( "There are only 4 successful ways, all choose Tues., Thurs., Sat., or Sun.\r\n" );
document.write( "So the numerator of the desired probability is 4.\r\n" );
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document.write( "Now we find the number of possible ways that could be the given case:\r\n" );
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document.write( "We can choose the letter for the days to begin with, T or S.  2 ways.\r\n" );
document.write( "We can choose the day for Tom 2 ways.\r\n" );
document.write( "We can choose the day for Dick 2 ways.\r\n" );
document.write( "We can choose the day for Harry 2 ways.\r\n" );
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document.write( "That's 2*2*2*2 = 16 ways. That's the denominator.\r\n" );
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document.write( "Answer: 4/16 = 1/4. \r\n" );
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document.write( "Edwin

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