QUESTION 1
Easy
When a single 6-sided die is rolled, what is the total number of possible outcomes in the sample space?
SOLUTION
A standard 6-sided die has the numbers: \(1, 2, 3, 4, 5, 6\)
Each number is a possible outcome when the die is rolled.
The sample space is the set of all outcomes. So, \(S = \{1, 2, 3, 4, 5, 6\}\)
Total number of outcomes, \(n(S) = 6\)
Each number is a possible outcome when the die is rolled.
The sample space is the set of all outcomes. So, \(S = \{1, 2, 3, 4, 5, 6\}\)
Total number of outcomes, \(n(S) = 6\)
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Final Answer : Total number of possible outcomes in the sample space = 6
Concept Note
The sample space is the complete list of all possible outcomes of an experiment. The number of elements in the sample space is called the sample size and is denoted by \(n(S)\).