Respuesta :
Answer:
Outcomes: S = {1, 2, 3, 4, 5, or 6}
The outcomes of rolling a single die are equally likely.
Step-by-step explanation:
A single fair die has six faces. Each face has dots on it, numbered {1, 2, 3, 4, 5, or 6}.
On rolling the die the possible outcomes are:
S = {1, 2, 3, 4, 5, or 6}
Thus, there are a total of 6 possible outcomes.
Equally likely events are events that has the same probability of happening.
For example, if events A and B are equally likely then P (A) = P (B).
The outcomes of rolling a die are equally likely because the probability of any of the 6 faces showing up are same, i.e.
[tex]P(1) = P(2)=P(3)=P(4)=P(5)=P(6)=\frac{Favorable\ outcome}{Total\ no.\ of\ outcomes}=\frac{1}{6}[/tex]
Thus, the outcomes of rolling a single die are equally likely.
