if you flip two coins 84 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 84 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 $\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$ since the events are independent.
Step2: Find expected number of times
The expected 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, $n = 84$ and $P=\frac{1}{4}$. So, $E=84\times\frac{1}{4}=21$.
Answer:
21