Question 1141625
If there are 48 bottles of juice and 1/3 are apple juice, then there are 16 bottles of apple juice.
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This leaves 32 remaining bottles of juice.  From these 32 bottles, we know that 3/4 of them are orange juice and 1/4 of them are grape juice.  (Because there are three times as many bottles of orange juice as grape juice.)
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The number of bottles of orange juice is: 3/4 * 32 = 24
The number of bottles of grape juice is: 1/4 * 32 = 8
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So, the totals of each type of juice:
Apple = 16
Orange = 24
Grape = 8
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The probability of randomly choosing a bottle of orange juice:
{{{24/(16+24+8)}}} = 24/48 = 1/2