If you roll a 6-sided die 18 times, what is the best prediction possible for the number of times you will roll a four?
A) 2 times
B) 3 times
C) 6 times
D) 9 times
If you roll a 6-sided die 18 times, what is the best prediction possible for the number of times you will roll a four?
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The best prediction for the number of times you will roll a four when rolling a 6-sided die 18 times can be found by calculating the expected value. Since there is one four on the die, the probability of rolling a four on any single roll is ( frac{1}{6} ).
Now, multiply the probability by the number of rolls:
[
text{Expected rolls of four} = 18 times frac{1}{6} = 3
]
Thus, the best prediction possible for the number of times you will roll a four is B) 3 times.