To determine the probability of rolling a "3" or a "4" on a special 6-sided die, we need to follow a few steps.
1. Identify Total Possible Outcomes:
- A 6-sided die has 6 faces, each with a unique number from 1 to 6. Thus, the total number of possible outcomes when rolling the die is 6.
2. Identify Favorable Outcomes:
- The favorable outcomes, in this case, are rolling either a "3" or a "4". These are two distinct outcomes.
3. Calculate the Probability:
- The probability of an event is given by the formula:
[tex]\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}}
\][/tex]
- In this scenario, the number of favorable outcomes is 2 (since rolling a "3" and rolling a "4" are two outcomes), and the total number of possible outcomes is 6.
- Plugging in the values, we get:
[tex]\[
\text{Probability} = \frac{2}{6}
\][/tex]
4. Simplify the Fraction:
- The fraction [tex]\(\frac{2}{6}\)[/tex] can be simplified to [tex]\(\frac{1}{3}\)[/tex].
5. Convert to Decimal Form:
- To express the probability as a decimal, divide 1 by 3:
[tex]\[
\frac{1}{3} \approx 0.333
\][/tex]
Hence, the probability that the number rolled is a "3" or a "4" can be expressed as either [tex]\(\frac{1}{3}\)[/tex] or approximately 0.333 (rounded to three decimal places).
