if you flip two coins 4 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 4 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 being heads is $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.
Step2: Use expected - value formula
The expected - value formula for a binomial experiment is $E = n\times p$, where $n$ is the number of trials and $p$ is the probability of success in a single trial. Here, $n = 4$ (number of times two coins are flipped) and $p=\frac{1}{4}$ (probability of both coins landing on heads in a single flip of two coins). So, $E=4\times\frac{1}{4}=1$.
Answer:
1