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You roll a $6$ -sided die. What is $P(5)$ ? $\newline$ Simplify your answer and write it as a fraction or whole number. $\newline$ ______

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Theoretical probability

Full solution

Q. You roll a

6

-sided die. What is

P(5)

?

\newline

Simplify your answer and write it as a fraction or whole number.

\newline

______

Understand Question: To solve the problem, we first need to understand what is being asked. The question prompt is: ＂What is the probability of rolling a $5$ on a $6$ -sided die?＂ This is a basic probability question where we are looking for the likelihood of a single outcome occurring.
Total Possible Outcomes: The total number of possible outcomes when rolling a $6$ -sided die is $6$ , because there are $6$ faces on the die, each with a different number from $1$ to $6$ . This is a fundamental principle in probability when dealing with fair dice.
Favorable Outcomes: The number of favorable outcomes for rolling a $5$ is $1$ , since there is only one face out of the $6$ that has the number $5$ on it. This is how we determine favorable outcomes in probability - by counting how many outcomes match the event we are interested in.
Calculate Probability: To find the probability of rolling a $5$ , we use the formula for probability: $P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ . Substituting the values we have: $P(5) = \frac{1}{6}$ . This calculation is straightforward and involves basic division.

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\newline

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\newline

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