document.write( "Question 284404: In a lottery, players win a large prize when they pick four digits that match, in the correct order. A smaller prize is won if only three digits are matched. What is the probability that a player wins the large prize? What is the probability that a player wins the small prize? \n" ); document.write( "
Algebra.Com's Answer #206390 by stanbon(75887)\"\" \"About 
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In a lottery, players win a large prize when they pick four digits that match, in the correct order. A smaller prize is won if only three digits are matched. What is the probability that a player wins the large prize? What is the probability that a player wins the small prize?
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\n" ); document.write( "Prob of winning large prize:
\n" ); document.write( "# of ways to get 4 in the correct order: 1
\n" ); document.write( "# of possible outcomes:
\n" ); document.write( "10C4 = 210 groups of 4 digits
\n" ); document.write( "# of orders = 4! = 24
\n" ); document.write( "So, # of possible outcomes = 24*210 = 5040
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\n" ); document.write( "P(winning larger prize) = 1/5040
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\n" ); document.write( "Prob of winning smaller prize
\n" ); document.write( "# ways to get 3 matched: 4C3 = 4
\n" ); document.write( "# of possible outcomes:
\n" ); document.write( "10C3*3# = 720
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\n" ); document.write( "P(winning smaller prize) = 4/720 = 1/180
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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