Question
One die is rolled. What is the probability that the number rolled is greater than 4?
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Answers
GPT-4o mini
To find the probability that the number rolled on a die is greater than 4, we first identify the possible outcomes when rolling a standard six-sided die. The possible outcomes are:
1, 2, 3, 4, 5, 6
Next, we determine which of these outcomes are greater than 4. The numbers greater than 4 are:
5, 6
There are 2 favorable outcomes (5 and 6) out of a total of 6 possible outcomes.
The probability \( P \) of rolling a number greater than 4 is given by:
\[
P(\text{greater than 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3}
\]
Therefore, the probability that the number rolled is greater than 4 is \( \frac{1}{3} \).
The correct answer is:
\(\frac{1}{3}\)
1, 2, 3, 4, 5, 6
Next, we determine which of these outcomes are greater than 4. The numbers greater than 4 are:
5, 6
There are 2 favorable outcomes (5 and 6) out of a total of 6 possible outcomes.
The probability \( P \) of rolling a number greater than 4 is given by:
\[
P(\text{greater than 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3}
\]
Therefore, the probability that the number rolled is greater than 4 is \( \frac{1}{3} \).
The correct answer is:
\(\frac{1}{3}\)