Question

Mansie rolls a six-sided fair die once. The desired outcome is an odd number. The sample space of the experiment is , and the favorable outcomes are .

• A. $\{1,2,3,4,5,6\}$
• B. $\{2,4,6\}$
• C. $\{1,3,5\}$
• D. $\{1,2,3\}$
• E. $\{4,5,6\}$
• F. $\{1,2,3,4,5\}$

Answer 1

Answer: (A), (C)

$\{1,3,5\}$

Sample Space $\text{(S)}$ is the collection of all possible outcomes.

As Mansie rolls a six-sided fair die once, the possible outcome can be $1$ or $2$ or $3$ or $4$ or $5$ or $6$. Hence, the sample space, $\text{S}=\{1,2,3,4,5,6\}$.

Mansie desires to roll an odd number. In the sample space $\left(\text{S}\right)$, the odd numbers are $1$, $3$ and $5$. Hence, the favorable outcomes are $\{1,3,5\}$.