Question

m2a performance task 3: probability investigation
objective
use probability to determine the fairness of a game of chance.
vocabulary
define each of the terms below: (___ / 3 points)

term	definition
probability
equally likely outcomes

Explanation:

• Sample Space: The set of all possible outcomes of a random experiment. For example, when rolling a die, the sample space is {1, 2, 3, 4, 5, 6}.
• Probability: A measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes in the sample space, with values between 0 and 1 (or 0% and 100%).
• Equally Likely Outcomes: Outcomes in a random experiment that have the same probability of occurring. For example, when flipping a fair coin, getting heads or tails are equally likely outcomes, each with a probability of $\frac{1}{2}$.

Answer:

• Sample Space: The set of all possible outcomes of a random experiment.
• Probability: A measure of the likelihood of an event occurring, calculated as $\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$, with values in $[0, 1]$.
• Equally Likely Outcomes: Outcomes of a random experiment that have the same probability of occurring.