Question

Form the sample space $S_1$ for the desired outcome in the given situation:

• A. $S_1=\{1,2,3,4,5,6\}$
• B. $S_1=\{2,4,6\}$
• C. $S_1=\{1,3,5\}$
• D. $S_1=\{1,3,5,6\}$

Answer 1

The correct option is C $S_1=\{1,3,5\}$


The given situation represents a "WIN" when an odd number appears on the die after rolling and a "LOSE" when an even number appears on the die after rolling.

The desired outcome in this situation is "getting an odd number" when a die is rolled.

The sample space $S$ when a die is rolled is:
$S=\{1,2,3,4,5,6\}$


The sample space $S_1$ for the desired outcome in the given situation is:
$S_1=\{1,3,5\}$

Therefore, option (c.) is the correct answer.