which choice does not represent the sample space for rolling a six - sided die one time?
which choice does not represent the sample space for rolling a six - sided die one time?
Answer
Explanation:
Step1: Define sample - space concept
The sample space of rolling a six - sided die is the set of all possible outcomes, which is {1, 2, 3, 4, 5, 6}. It can be represented by listing the numbers, showing the die faces, or using a tree - like diagram with a single starting point branching to 1, 2, 3, 4, 5, 6.
Step2: Analyze the given diagrams
The first option lists the numbers 1 - 6, the second option shows the six faces of the die, and the fourth option has a single starting point branching to 1, 2, 3, 4, 5, 6. These all represent the sample space of rolling a six - sided die. The third option is a non - standard tree diagram that does not correctly represent all possible single - roll outcomes of a six - sided die.
Answer:
The third option (the non - standard tree diagram) does not represent the sample space for rolling a six - sided die one time.