Question 1060954
Initially there are {{{7}}} cans of apple juice,
out of a total of {{{7+8+8+4=29}}} cans,
so the probability of the first can picked being apple juice is {{{7/29}}} .
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 {{{6/28=3/14}}} .
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 {{{5/27}}} .
The probabiulity of that series of events is
{{{(7/29)*(3/14)*(5/27)=105/10962}}} .
Rounding to 4 decimal places, we get the approximate result
{{{0.0096=0.96/100="0.96%"}}} , or about 1% .