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 tails? times
Answer
Explanation:
Step1: Calculate probability of both tails
When flipping two fair - coins, the total number of possible outcomes is $2\times2 = 4$ (HH, HT, TH, TT). The probability of getting both tails (TT) in a single flip of two coins is $p=\frac{1}{4}$.
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 in a single trial. Here, $n = 4$ (the number of times the two - coins are flipped) and $p=\frac{1}{4}$. So, $E(X)=4\times\frac{1}{4}$.
Answer:
1