Bunuel
A class contains boys and girls. What is the probability of selecting a boy from a class?
(1) There are 35 students in the class
(2) The ratio of boys to girls is 3:4
Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTIONFundamentally, Probability = (desired options)/(total options). The “desired options” are the number of boys and the “total options” is the number of students.
Statement #1: we know here the “total options”, but we don’t know how many of these 35 students are boys. This statement, alone and by itself, is insufficient.
Statement #2: Ignore the information in the first statement. From any ratio among parts, we can calculate the ratio to the whole. If boys are “3 parts” and girls are “4 parts” , so the whole must be 3 + 4 = 7 parts. Thus, the ratio of boys to whole is 3/7 — that’s the probability. Using the properties of ratios, we can answer the prompt question. This statement, alone and by itself, is sufficient.
First not sufficient, second sufficient. Answer = B.
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