if you flip two coins 12 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 12 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 $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.
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, $n = 12$ (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, $E=12\times\frac{1}{4}=3$.
Answer:
3