Alan is a bartender, and someone has removed all the labels from the bottles. Some bottles contain liquor, which has alcohol, and the rest contain mixers, which do not have any alcohol. If Alan randomly selects three bottles and mixes a drink, what is p, the probability that the drink will contain no alcohol?
(1) There are twice as many bottles of liquor as there are of mixers.
(2) 1/80 < p < 1/50
OA: C
Please help! I did not understand the official explanation provided. Though I was able to figure out that statement (1) alone is insufficient, I was not sure how to make use of the second statement.. Also different approaches to solve this problem would be of great help. Kudos !