SOLUTION: 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 containe

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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
Answer by KMST(5328) About Me  (Show Source):
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Initially there are 7 cans of apple juice,
out of a total of 7%2B8%2B8%2B4=29 cans,
so the probability of the first can picked being apple juice is 7%2F29 .
After that, there are 29-1=28 cans in the ice chest,
including 7-1=6 cans of apple juice,
so the probability picking a second can of apple juice is 6%2F28=3%2F14 .
After getting 2 cans of apple juice out of the ice chest,
There are 29-2=27 cans of juice in the ice chest,
including 7-2=6 cans of apple juice,
so the probability picking a third can of apple juice is 5%2F27 .
The probabiulity of that series of events is
%287%2F29%29%2A%283%2F14%29%2A%285%2F27%29=105%2F10962 .
Rounding to 4 decimal places, we get the approximate result
0.0096=0.96%2F100=%220.96%25%22 , or about 1% .