A fair die is rolled once. What is the probability of getting a prime number?

Question

The distribution function $ F(X) $ of a discrete random variable $ X $ is given. Then $ P[X = 4] + P[X = 5] $:
\[ \begin{array}{|c|c|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline F(X = x) & 0.2 & 0.37 & 0.48 & 0.62 & 0.85 & 1 \\ \hline \end{array} \]

Answer 1

Three of the six equally likely faces (2, 3, 5) are prime, so the probability is $\dfrac{3}{6} = \dfrac{1}{2}$.

A fair die is rolled once. What is the probability of getting a prime number?

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The Correct Option is C

Solution and Explanation

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