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Probability and conditional probability SAT question

Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.

Each face of a fair $14$ -sided die is labeled with a number from $1$ through $14$ , with a different number appearing on each face. If the die is rolled one time, what is the probability of rolling a $2$ ?

ExplanationShow

Choice A is correct. The total number of possible outcomes for rolling a fair $14$ -sided die is $14$ . The number of possible outcomes for rolling a $2$ is $1$ . The probability of rolling a $2$ is the number of possible outcomes for rolling a $2$ divided by the total number of possible outcomes, or $\frac{1}{14}$ .

Choice B is incorrect. This is the probability of rolling a number no greater than $2$ .

Choice C is incorrect. This is the probability of rolling a number greater than $2$ .

Choice D is incorrect. This is the probability of rolling a number other than $2$ .

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