Question

In a game of chance player spin the pointer of a spinner with six equal-sized sections. part A what is the sample space of the game? ​

Answer 1

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. $\frac{1}{6}$.

The sample space of the experiment is:

S = {1, 2, 3, 4, 5, 6}