Pregunta
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A single fair eight-sided die is rolled. Find the probability of getting a 5 or 2.

Ask by Carter Vargas. in the United States
Mar 03,2025

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The probability of rolling a 5 or 2 is 1/4.

Solución

When rolling a fair eight-sided die, there are 8 equally likely outcomes (one for each face). To find the probability of rolling either a 5 or a 2, count the favorable outcomes: • Outcome 1: 5 • Outcome 2: 2 There are 2 favorable outcomes. Therefore, the probability is calculated as: Probability = (Number of favorable outcomes) / (Total outcomes) = 2 / 8 = 1/4. Thus, the probability of getting a 5 or 2 is 1/4.

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Bonus Knowledge

When rolling a single fair eight-sided die, there are a total of 8 possible outcomes: {1, 2, 3, 4, 5, 6, 7, 8}. The favorable outcomes for getting either a 5 or a 2 are 2 outcomes: {2, 5}. To find the probability, you take the number of favorable outcomes (2) and divide it by the total number of outcomes (8). So, the probability of rolling a 5 or a 2 is 2/8, which simplifies to 1/4 or 0.25. Now, isn’t it interesting that rolling a die not only involves numbers but also a touch of chance and excitement? You can easily spice this up by throwing in some friendly competition! Have friends roll their dice and see who gets the highest number, or set up simple betting games. Who knew math could be so entertaining? Lastly, if you want to further explore probability, consider experimenting with multiple dice rolls and different combinations. You could also check out historical probability games like Hazard or Chuck-a-Luck! These can provide great insights into the evolution of games of chance and deepen your understanding of probability theory.

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