Shelly is one of 1500 participants in a Latin contest. 12% of the participants will receive as a prize either a silver-plated or gold-plated pen. If the number of silver-plated pens is twice the number of gold-plated ones, what is the probability that Shelly will receive a gold-plated one?
A) 6 %
B) 4 %
C) 8 %
D) 67 %
E) 33 %
IMAT 2024 · Question 6
Q6 - Problem solving
Pinned
The correct answer is B) 4 %.
12% of 1500 = 180 pens. Silver is twice gold, so gold + 2·gold = 180, which gives 60 gold.
Shelly's chance of a gold pen is 60 / 1500 = 4%.
33% is the share of the prize pens that are gold. The question asks about Shelly's chance as one of 1500 participants.
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