Give the Range of Values That the Random Variable X

Multiple Choice

Give the range of values that the random variable X may assume and classify the random variable as finite discrete, infinite discrete, or continuous. ​
X = The number of times a die is thrown until a 3 appears.
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A) X may assume the values of any positive integer. The random variable is finite discrete.
B) X may assume the values of any positive integer. The random variable is continuous.
C) X may assume the values in the set S = {1, 2, 3, 4, 5, 6}. The random variable is finite discrete.
D) X may assume the values of any positive integer. The random variable is infinite discrete.