document.write( "Question 934990: 5 cards are to be selected from first 10 cards numbered 1 to 10 one after the another without replacement. what is the probability that the selected numbers on the card has median 3? \n" ); document.write( "

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The numbers on the five cards selected will be five different numbers between 1 and 10.
\n" ); document.write( "There are $\"10%2A9%2A8%2A7%2A6%2F%281%2A2%2A3%2A4%2A5%29=272\"$ possible combinations of cards
\n" ); document.write( "(and sets of numbers on the cards drawn).
\n" ); document.write( "If one of those sets has a median of 3,
\n" ); document.write( "one of the cards must have the number 3,
\n" ); document.write( "two of the cards must have a lesser number, and
\n" ); document.write( "two of the cards must have a greater number.
\n" ); document.write( "The number less than 3 must be 1 and 2,
\n" ); document.write( "so we know that 3 of the cards must have the numbers 1, 2, and 3 on them.
\n" ); document.write( "The remaining 2 cards can have any of the other 7 possible numbers.
\n" ); document.write( "There are $\"7%2A6%2F%281%2A2%29=21\"$ such possible sets of 2 cards,
\n" ); document.write( "so for $\"21\"$ of the $\"252\"$ possible sets of cards would the median of the numbers on the cards be 3.
\n" ); document.write( "The probability that the set of numbers on the selected cards has a median of 3 is
\n" ); document.write( " $\"21%2F252=highlight%281%2F12%29\"$
\n" ); document.write( "How many of those \n" ); document.write( "

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