document.write( "Question 1060954: An ice chest contains 7 cans of apple juice, 8 cans of grape juice, 8 cans of orange juice, and 6 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of apple juice \n" ); document.write( "

Algebra.Com's Answer #675800 by KMST(5328) $\"\"$ $\"About$

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Initially there are $\"7\"$ cans of apple juice,
\n" ); document.write( "out of a total of $\"7%2B8%2B8%2B4=29\"$ cans,
\n" ); document.write( "so the probability of the first can picked being apple juice is $\"7%2F29\"$ .
\n" ); document.write( "After that, there are $\"29-1=28\"$ cans in the ice chest,
\n" ); document.write( "including $\"7-1=6\"$ cans of apple juice,
\n" ); document.write( "so the probability picking a second can of apple juice is $\"6%2F28=3%2F14\"$ .
\n" ); document.write( "After getting $\"2\"$ cans of apple juice out of the ice chest,
\n" ); document.write( "There are $\"29-2=27\"$ cans of juice in the ice chest,
\n" ); document.write( "including $\"7-2=6\"$ cans of apple juice,
\n" ); document.write( "so the probability picking a third can of apple juice is $\"5%2F27\"$ .
\n" ); document.write( "The probabiulity of that series of events is
\n" ); document.write( " $\"%287%2F29%29%2A%283%2F14%29%2A%285%2F27%29=105%2F10962\"$ .
\n" ); document.write( "Rounding to 4 decimal places, we get the approximate result
\n" ); document.write( " $\"0.0096=0.96%2F100=%220.96%25%22\"$ , or about 1% . \n" ); document.write( "

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