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Problem-Solving and Data Analysis / Probability and conditional probability Difficulty: Easy

Classification	Frequency
color X	$119$ $119$
color Y	$3$ $3$
color Z	$35$ $35$

Each of $157$ gemstones can be classified as one of three classifications, as shown in the frequency table.

If one of the gemstones is selected at random, what is the probability of selecting a gemstone of color Y?

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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 $3$ gemstones of color Y, and it's given that the total number of gemstones is $157$ . Therefore, if one of the gemstones is selected at random, the probability of selecting a gemstone of color Y is $StartFraction 3 Over 157 EndFraction$ .

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.