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ICE Princess25 [194]
3 years ago
12

If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcome

s equally likely?
Mathematics
1 answer:
azamat3 years ago
5 0

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 <em>A</em> and <em>B</em> are equally likely then <em>P </em>(<em>A</em>) = <em>P </em>(<em>B</em>).

The outcomes of rolling a die are equally likely because the probability of any of the 6 faces showing up are same, i.e.  

P(1) = P(2)=P(3)=P(4)=P(5)=P(6)=\frac{Favorable\ outcome}{Total\ no.\ of\ outcomes}=\frac{1}{6}

Thus, the outcomes of rolling a single die are equally likely.

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