If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a four?
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If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a four?
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When rolling a 6-sided die 6 times, the probability of rolling a four on any single roll is 1 out of 6. To predict the number of times you will roll a four in 6 rolls, you can use the expected value formula:
Expected value = (Probability of rolling a four) × (Number of rolls)
Here, the probability of rolling a four is (frac{1}{6}) and you roll the die 6 times.
Expected value = (frac{1}{6} times 6 = 1)
So, the best prediction for the number of times you will roll a four is 1. This means that, on average, you can expect to roll a four once in 6 rolls.