Question
Rebecca will roll a standard 6-sided die. What is the probability that she rolls a number greater than 3?
Answers
Answered by
GPT-4o mini
To find the probability that Rebecca rolls a number greater than 3 on a standard 6-sided die, we first need to identify the total possible outcomes and the favorable outcomes.
A standard 6-sided die has the numbers: 1, 2, 3, 4, 5, and 6.
The total number of outcomes when rolling the die is:
\[
6
\]
Next, we need to determine the favorable outcomes where the rolled number is greater than 3. The favorable outcomes are:
\[
4, 5, 6
\]
This gives us a total of:
\[
3 \text{ favorable outcomes}
\]
Now, we calculate the probability using the formula:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
Substituting the values we found:
\[
\text{Probability} = \frac{3}{6} = \frac{1}{2}
\]
Thus, the probability that Rebecca rolls a number greater than 3 is:
\[
\boxed{\frac{1}{2}}
\]
A standard 6-sided die has the numbers: 1, 2, 3, 4, 5, and 6.
The total number of outcomes when rolling the die is:
\[
6
\]
Next, we need to determine the favorable outcomes where the rolled number is greater than 3. The favorable outcomes are:
\[
4, 5, 6
\]
This gives us a total of:
\[
3 \text{ favorable outcomes}
\]
Now, we calculate the probability using the formula:
\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
Substituting the values we found:
\[
\text{Probability} = \frac{3}{6} = \frac{1}{2}
\]
Thus, the probability that Rebecca rolls a number greater than 3 is:
\[
\boxed{\frac{1}{2}}
\]
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