if you flip two coins 16 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 16 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 $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$ since the events are independent.
Step2: Calculate expected number of times
The expected value (best prediction) of the number of times an event occurs in $n$ trials is given by $E = n\times p$, where $n$ is the number of trials and $p$ is the probability of the event. Here, $n = 16$ and $p=\frac{1}{4}$. So $E=16\times\frac{1}{4}=4$.
Answer:
4