Respuesta :
Answer:
The sample space of the game is: S = {1, 2, 3, 4, 5, 6}.
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
Consider a few example:
- Consider the experiment of tossing a coin. The sample space of this experiment consists of only two outcomes, i.e. Heads (H) and Tails (T).
- Consider the experiment of rolling a fair six-sided die. The sample space of this experiment consists of six outcomes, i.e. faces 1, 2, 3, 4, 5 and 6.
- Consider the experiment of selecting a card from a pack of 52 cards. The sample space of this experiment consists of 52 distinct outcomes.
The probability of all the outcomes in a sample space always sum up to 1.
Thus, fulfilling the condition of a valid sample space.
In this case, a game is played by spinning a pointer of a spinner with six equal-sized sections.
So, the pointer has 6 possible sections to land.
The pointer lands on any of the 6 sections with same probability, i.e. [tex]\frac{1}{6}[/tex].
The sample space of the experiment is:
S = {1, 2, 3, 4, 5, 6}
