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\begin{tabular}{|l|l|}\hline & \\ \hline What is the & \( x<6: \) \\ probability of & Rolling a number less \\ rolling a number \\ less than \( 6 ? \) & than \\ \hline\end{tabular}

Ask by Powers Cross. in the United States
Feb 03,2025

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Tutor-Verified Answer

Answer

The probability of rolling a number less than 6 is \(\frac{5}{6}\) or about 83.33%.

Solution

It looks like you're asking for the probability of rolling a number less than 6 on a standard six-sided die. Let's break it down: ### Understanding the Problem - **Total Possible Outcomes:** A standard die has six faces, numbered from 1 to 6. So, there are 6 possible outcomes when you roll the die. - **Favorable Outcomes:** Numbers less than 6 are 1, 2, 3, 4, and 5. This gives us 5 favorable outcomes. ### Calculating the Probability The probability \( P \) of an event is given by the formula: \[ P(\text{Event}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} \] Plugging in the numbers: \[ P(\text{Rolling a number less than } 6) = \frac{5}{6} \approx 0.8333 \text{ or } 83.33\% \] ### Conclusion The probability of rolling a number less than 6 on a standard six-sided die is **\(\frac{5}{6}\) or approximately **83.33%**.

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Bonus Knowledge

To find the probability of rolling a number less than 6 on a standard six-sided die, we look at the possible outcomes. The numbers you can roll are 1, 2, 3, 4, 5, and 6. Out of these, the numbers less than 6 are 1, 2, 3, 4, and 5, which gives us 5 favorable outcomes. The total number of possible outcomes is 6. So, the probability is \( \frac{5}{6} \) or approximately 83.33%. Now, imagine you’re at a game night, eagerly rolling the dice! Not only do you have a 5 out of 6 chance of scoring a number that’s less than 6, but you are also boosting your odds of winning—now that’s exciting! Just remember to celebrate even the smallest victories; every turn counts!

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