document.write( "Question 1170762: in endurance horse racing, people over the age of 15 are called seniors and people 15 years or younger are called juniors. An endurance horse race consists of 25 seniors and 5 juniors. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation for example 3.3421E-6.)
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\n" ); document.write( "What is the probability that the top three finishers were:
\n" ); document.write( "(a) all seniors
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\n" ); document.write( "\n" ); document.write( "(b) all juniors
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\n" ); document.write( "\n" ); document.write( "(c) 2 seniors and 1 junior
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\n" ); document.write( "\n" ); document.write( "(d) 1 senior and 2 juniors
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Algebra.Com's Answer #795649 by Boreal(15235) $\"\"$ $\"About$

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There are 30 in the race and 30C3 are the number of ways 3 finishers may occur. That is the denominator.
\n" ); document.write( "25C3 are the number of ways to choose 3 seniors from 25
\n" ); document.write( "so 25C3/30C3=0.5665
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\n" ); document.write( "all juniors is 5C3/30C3=0.00246
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\n" ); document.write( "2 seniors and 1 junior is 25C2*5C1/30C3=0.3695
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\n" ); document.write( "1 senior and 2 juniors is is 25C1*5C230C3=250/30C3=0.06158 \n" ); document.write( "

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