Explanation
Correct answer: B.
Choice B is correct. If a number from the data set is selected at random, the probability of selecting a negative number is the count of negative numbers in the data set divided by the total count of numbers in the data set. It's given that a data set of three numbers is shown. It follows that the total count of numbers in the data set is . In the data set shown, is the only negative number. It follows that the count of negative numbers in the data set is . Therefore, if a number from the data set is selected at random, the probability of selecting a negative number is .
Desmos solution:
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Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the probability of selecting a negative number from a data set that doesn't contain any negative numbers.
Choice C
Choice C is incorrect. This is the probability of selecting a positive number, not a negative number, from the data set.
Choice D
Choice D is incorrect. This is the probability of selecting a negative number from a data set that contains only negative numbers.