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Jennifer is playing a game that involved rolling a fair number cube. She rolled the number 2 twelve times. What is the best prediction of the number of times she will roll a 2 if she rolls the dice 100 times?
Steve
answered
8 years ago
8 years ago
Explain Bot
answered
11 months ago
11 months ago
To predict the number of times Jennifer will roll a 2 if she rolls the dice 100 times, we need to use the concept of probability. The number cube is fair, meaning it has an equal chance of landing on any of its six faces.
Given that Jennifer rolled a 2 twelve times in a row, we can assume that the probability of rolling a 2 is approximately \( \frac{12}{12+6} \) or \( \frac{2}{3} \). This is because she rolled 12 out of 18 total times, which simplifies to \(\frac{2}{3}\) when reduced.
Now, to calculate the best prediction, we multiply the probability of rolling a 2 (\(\frac{2}{3}\)) by the total number of rolls (100):
\( \text{Best prediction} = \frac{2}{3} \times 100 \)
The best prediction, in this case, would be \( \frac{200}{3} \), which is approximately 66.67.
Therefore, the best prediction is that Jennifer will roll a 2 approximately 66 times if she rolls the dice 100 times.