Question each-o
Each of gemstones can be classified as one of three classifiions, as shown in the frequency table.
| Classifiion | Frequency |
|---|---|
| color X | |
| color Y | |
| color Z |
If one of the gemstones is selected at random, what is the probability of selecting a gemstone of color Y?
Each of 157 gemstones can be classified as one of three classifiions, as shown in the
Medium-difficulty · SAT Math · Probability & Conditional Probability — Simple probability. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice A is correct. If one of the gemstones is selected at random, the probability of selecting a gemstone of color Y is equal to the number of gemstones of color Y divided by the total number of gemstones. According to the table, there are gemstones of color Y, and it's given that the total number of gemstones is . Therefore, if one of the gemstones is selected at random, the probability of selecting a gemstone of color Y is .
Choice B is incorrect. This is the probability of selecting a gemstone of color Z.
Choice C is incorrect. This is the probability of selecting a gemstone of color X.
Choice D is incorrect. This is the probability of selecting a gemstone that's not of color Y.
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