Question
What is the probability of getting the side marked 2 when a dice is thrown once?
Ask by Norris Simpson. in Kenya
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of rolling a 2 on a fair six-sided die is \( \frac{1}{6} \).
Solution
1. A standard dice has 6 faces, each showing a different number from 1 to 6.
2. Since the dice is fair, each face has an equal chance of landing face up.
3. The probability \( P \) of any specific outcome is given by
\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
4. For the event of getting the side marked 2, there is exactly 1 favorable outcome.
5. Therefore, the probability is
\[
P = \frac{1}{6}
\]
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Simplify this solution Beyond the Answer
When you throw a standard six-sided die, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. Each side has an equal chance of landing face up. Therefore, the probability of rolling any specific number, including the side marked 2, is 1 out of 6. This means you have a 1/6 chance, or approximately 16.67%, of rolling a 2! To make this a little more thrilling, let’s remember that dice have been around for thousands of years. The oldest known dice were excavated from an archaeological site in Iran and are around 5,000 years old! So, every time you roll a die, you’re participating in a game that has entertained humanity for millennia. Isn’t that a fun thought?
