if you roll a 6 - sided die 6 times, what is the best prediction possible for the number of times you will…
if you roll a 6 - sided die 6 times, what is the best prediction possible for the number of times you will roll a one? times
Answer
Explanation:
Step1: Determine probability of rolling a 1
The probability $P$ of rolling a 1 on a 6 - sided die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 1) out of 6 possible outcomes.
Step2: Use expected - value formula
The expected value $E$ of the number of times a 1 is rolled in $n = 6$ trials is given by $E=n\times P$. Substitute $n = 6$ and $P=\frac{1}{6}$ into the formula: $E = 6\times\frac{1}{6}$.
Step3: Calculate the result
$6\times\frac{1}{6}=1$.
Answer:
1