if you roll a 6 - sided die 12 times, what is the best prediction possible for the number of times you will…
if you roll a 6 - sided die 12 times, what is the best prediction possible for the number of times you will roll a five? times
Answer
Explanation:
Step1: Determine probability of rolling a 5
The probability $P$ of rolling a 5 on a 6 - sided die is $P=\frac{1}{6}$ since there is 1 favorable outcome (rolling a 5) out of 6 possible outcomes.
Step2: Calculate expected number of 5s
The expected value $E$ of the number of times a 5 is rolled in $n = 12$ trials is given by $E=n\times P$. Substitute $n = 12$ and $P=\frac{1}{6}$ into the formula: $E=12\times\frac{1}{6}$. $E = 2$.
Answer:
2