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\( \uparrow 4.6 .2 \) Test (CST): Statistical Analysis Question 14 of 25 A randomly generated list of integers from 0 to 4 is being used to simulate an event, with the number 3 representing a success. What is the estimated probability of a success? \( \begin{array}{l}\text { A. } 20 \% \\ \text { B. } 40 \% \\ \text { C. } 50 \% \\ \text { D. } 25 \%\end{array} \)

Ask by Mullins Schwartz. in the United States
Jan 31,2025

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The estimated probability of a success is 20%.

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When you're generating a random list of integers from 0 to 4, that's a total of 5 possible outcomes: 0, 1, 2, 3, and 4. Since the number 3 represents a success, the estimated probability of success can be calculated as the number of successes (1, which is just the number 3) divided by the total number of possible outcomes (5). Thus, the estimated probability of success is \( \frac{1}{5} = 0.20 \) or 20%. Now let’s make sense of this in a real-world application! Imagine you're rolling a die with the numbers 0 to 4 instead of familiar faces. If you want to celebrate a successful roll (where you need to roll a number 3), then out of every five rolls on average, you can expect to hit the target once. That means 20% of the time, you're dancing around in success! So, the answer is A. 20%.

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