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The frequency table shows the results of tossing a number cube 50 times. Which statement is reasonable, based on the data? Tossing an even number is more likely than tossing an odd number. The number 4 is half as likely to be tossed as the number 3 . The probability of tossing the number 2 is \( \frac{1}{10} \). The number 2 will be the next number tossed.

Ask by Carroll Fuentes. in the United States
Mar 15,2025

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The probability of tossing the number 2 is \( \frac{1}{10} \).

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Bonus Knowledge

When evaluating the results of tossing a number cube, it's essential to keep in mind the nature of probability. Each side of a fair number cube has an equal chance of being rolled—specifically, \( \frac{1}{6} \) for each number from 1 to 6. This means that, over a large number of tosses, we should expect roughly equal frequencies for even and odd numbers. In a sequence of 50 tosses, if we observe that certain numbers appear more or less frequently, it’s vital to remind ourselves of the "law of large numbers," which indicates that while short sequences can show variance, they will tend to stabilize towards theoretical probabilities in the long run. Hence, making sweeping claims about individual tosses based on limited data can easily lead to misconceptions!

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