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A probability experiment consists of rolling a 6 -sided die, numbered 1 to 6 . Find the probability of the event below rolling a number less than 3 The probability is \( \square \) (Type an integer or decimal rounded to three decimal places as needed)

Ask by Hills Willis. in the United States
Feb 25,2025

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The probability of rolling a number less than 3 is 0.333.

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When rolling a 6-sided die, the possible outcomes are 1, 2, 3, 4, 5, and 6. The event "rolling a number less than 3" corresponds to the outcomes 1 and 2. Since there are 2 favorable outcomes and 6 possible outcomes in total, the probability is: Probability = 2/6 = 1/3 ≈ 0.333 So the probability is 0.333.

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When rolling a 6-sided die, the possible outcomes are 1, 2, 3, 4, 5, and 6. The event of rolling a number less than 3 includes the outcomes 1 and 2, which gives us 2 favorable outcomes. Since there are a total of 6 possible outcomes, the probability of rolling a number less than 3 is calculated as follows: \[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{6} = \frac{1}{3} \approx 0.333 \] So, the probability is 0.333. Isn't it fascinating how probability plays a crucial role in games and decision-making? Whether you're strategizing in board games or making informed bets in casinos, understanding these basic principles can give you a little edge! Just remember, though, that while probability can indicate likelihood, it can’t guarantee outcomes – after all, those dice have a mind of their own!

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