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 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: Use expected - value formula
The expected - value formula for a binomial situation is $E = n\times P$, where $n$ is the number of trials and $P$ is the probability of success on a single trial. Here, $n = 6$ (number of die rolls) and $P=\frac{1}{6}$. So $E=6\times\frac{1}{6}$.
Step3: Calculate the result
$6\times\frac{1}{6}=1$.
Answer:
1