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18 of the 47 people surveyed said they were not interested in trying a sample of a new soft drink. Find the probability that a randomly selected person was interested in trying the new drink. \( (1 \) point) 0.383 0.290 0.617 0.727

Ask by Hill Malone. in the United States
Feb 25,2025

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The probability is 0.617.

Solution

Since 18 out of 47 people were not interested, the number of people who were interested is 47 - 18 = 29. To find the probability that a randomly selected person was interested, divide 29 by 47: Probability = 29/47 ≈ 0.617 Thus, the correct answer is 0.617.

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To find the probability that a randomly selected person was interested in trying the new soft drink, we first need to determine the number of people interested. Since 18 out of 47 were not interested, that means 47 - 18 = 29 people were interested. Now, the probability \(P\) that a person selected at random is interested can be calculated as: \[ P(\text{interested}) = \frac{\text{number of interested people}}{\text{total number of people}} = \frac{29}{47} \approx 0.617 \] So the correct answer is **0.617**. Isn't it fascinating how we can derive probabilities like this? You can find probabilities in various scenarios around you, from games to weather forecasts. It's a handy tool for decision-making! Plus, digging deeper into probability helps sharpen our critical thinking skills – who knew math could be so impactful in everyday life!

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