What is the probability of selecting a gemstone of color Y if color Y makes up 3 out of 157 gemstones?

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Multiple Choice

What is the probability of selecting a gemstone of color Y if color Y makes up 3 out of 157 gemstones?

Explanation:
Probability is found by counting how many favorable outcomes there are out of the total number of possible outcomes. Here, favorable outcomes are gemstones that are color Y, which number 3. The total number of gemstones is 157. So the chance of picking a color Y gemstone is 3/157. As a decimal, that's about 0.0191, or about 1.9%. The other options misrepresent either the total or the ratio. For example, 3/150 would assume there are 150 gemstones, not 157. The reciprocal 157/3 isn’t a probability at all, since it’s greater than 1. An option like 1/52 would correspond to 3/156, not 3/157, so it’s not correct for this scenario.

Probability is found by counting how many favorable outcomes there are out of the total number of possible outcomes. Here, favorable outcomes are gemstones that are color Y, which number 3. The total number of gemstones is 157. So the chance of picking a color Y gemstone is 3/157. As a decimal, that's about 0.0191, or about 1.9%.

The other options misrepresent either the total or the ratio. For example, 3/150 would assume there are 150 gemstones, not 157. The reciprocal 157/3 isn’t a probability at all, since it’s greater than 1. An option like 1/52 would correspond to 3/156, not 3/157, so it’s not correct for this scenario.

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