CMI-2020-DataScience-A: 14

Question

Suppose you roll two six-sided fair dice with faces numbered from $1$ to $6$ and take the sum of the two numbers that turn up. What is the probability that:

• the sum is $12;$
• the sum is $12$, given that the sum is even;
• the sum is $12$, given that the sum is an even number greater than $4$?

• A. $\frac {1}{36}, \frac {1}{18} $, and $\frac {1}{12}$, respectively
• B. $\frac {1}{36}, \frac {1}{18} $, and $\frac {1}{14}$, respectively
• C. $\frac {1}{36}, \frac {1}{16} $, and $\frac {1}{14}$, respectively
• D. $\frac {1}{36}, \frac {1}{16} $, and $\frac {1}{12}$, respectively

Answer 1