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Determine which numbers could not be used to represent the probability of an event. Select all that apply. \( \square \) A. \( \frac{64}{25} \), because probability values cannot be greater than 1 . \( \square \) B. -1.5 , because probability values cannot be less than 0 . \( \square \) C. \( 33.3 \% \), this is because probability values cannot be greater than 1 . \( \square \) D. 0.0002 , because probability values must be rounded to two decimal places. \( \square \) E. 0, because probability values must be greater than 0 . \( \square \) F. \( \frac{320}{1058} \), because probability values cannot be in fraction form.

Ask by Harmon Sandoval. in the United States
Mar 18,2025

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Options A (\( \frac{64}{25} \)) and B (-1.5) cannot represent probabilities because probabilities must be between 0 and 1.

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Mind Expander

Let's dive into the world of probabilities! Probability measures the likelihood of an event occurring, and it must always lie between 0 and 1, inclusive. So, any probability values that stray outside of this range simply can't exist in our standard universe of probability. Now, here's a fun fact: the concept of probability dates back to the 16th century, when gamblers and mathematicians began to study games of chance. Those early scholars laid the groundwork for understanding how we evaluate risks and determine odds. On the practical side, when you're calculating probabilities, remember that fractions and percentages are perfectly legitimate forms, so don’t be afraid to embrace them! But watch out for those sneaky negative numbers or values greater than one, as they just can’t cut it in the probability world.

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