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You roll a $6$ -sided die. $\newline$ What is $P(\text{less than } 2)$ ? $\newline$ 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.

\newline

What is

P(\text{less than } 2)

?

\newline

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

\newline

_____

Understand Question: To solve this problem, we first need to understand what the question is asking. The probability $P(\text{less than } 2)$ refers to the chance of rolling a number that is less than $2$ on a $6$ -sided die. Since a standard $6$ -sided die has numbers $1$ through $6$ , the only number less than $2$ is $1$ .
Calculate Probability: Now we calculate the probability. Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome is rolling a $1$ , and there is only one such outcome.
Identify Favorable Outcome: The total number of possible outcomes when rolling a $6$ -sided die is $6$ , as there are $6$ faces on the die, each with a different number from $1$ to $6$ .
Determine Total Outcomes: Therefore, the probability $P(\text{less than } 2)$ is the number of favorable outcomes (which is $1$ ) divided by the total number of possible outcomes (which is $6$ ). So, $P(\text{less than } 2) = \frac{1}{6}$ .

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\newline

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