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 two? times
Answer
Explanation:
Step1: Determine probability of rolling a 2
The probability $p$ of rolling a 2 on a 6 - sided die is $\frac{1}{6}$ since there is 1 favorable outcome (rolling a 2) out of 6 possible outcomes.
Step2: Use expected - value formula
The expected - value formula for a binomial experiment is $E(X)=np$, where $n$ is the number of trials and $p$ is the probability of success on a single trial. Here, $n = 6$ (number of rolls) and $p=\frac{1}{6}$. So $E(X)=6\times\frac{1}{6}$.
Answer:
1