Question

Let the random variable X be the outcome of rolling a 6-sided die. Assuming the die is fair, the probability distribution is as follows:

X 1 2 3 4 5 6
Probability 1/6 1/6 1/6 1/6 1/6 1/6
Using the above table to answer the question: What is the probability that X is less than or equal to 2?
A.1/6
B.1/5
C.1/3
D.1/2
E.2/3

Answer 1

I think the correct answer from the choices listed above is option C. The probability that x is less than or equal to 2 is 1/3.
P(x<=2) = P( x=1) + P(x=2)
P(x<=2) = 1/6 + 1/6
P(x<=2) = 1/3