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 tails? times
Answer
Explanation:
Step1: Calculate probability of both tails
The probability of getting tails on one - coin flip is $\frac{1}{2}$. For two independent coin - flips, the probability of both landing on tails is $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.
Step2: Use expected - value formula
The expected value $E$ of the number of times an event occurs in $n$ trials is given by $E = n\times P$, where $n = 12$ (number of trials) and $P=\frac{1}{4}$ (probability of the event). So $E=12\times\frac{1}{4}$.
Step3: Calculate the result
$12\times\frac{1}{4}=3$.
Answer:
3