if you flip two coins 8 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 8 times, what is the best prediction possible for the number of times both coins will land on heads? times
Answer
Explanation:
Step1: Calculate probability of both heads
The probability of getting a head on one - coin flip is $\frac{1}{2}$. For two independent coin - flips, the probability of both landing on heads is $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$ using the multiplication rule for independent events.
Step2: Calculate expected number of times
The expected value $E(X)$ of a binomial experiment is given by $E(X)=n\times p$, where $n$ is the number of trials and $p$ is the probability of success in a single trial. Here, $n = 8$ (number of times two coins are flipped) and $p=\frac{1}{4}$ (probability of both coins landing on heads). So $E(X)=8\times\frac{1}{4}=2$.
Answer:
2