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 heads? times
Answer
Explanation:
Step1: Calculate probability of both heads
The probability of getting a head on one - coin flip is $\frac{1}{2}$. Since the coin - flips are independent events, the probability of getting heads on both coins is $P(\text{both heads})=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.
Step2: Find expected number of times
The expected value (or the best prediction) of the number of times an event occurs in $n$ trials is given by $E = n\times P$, where $n = 84$ (number of trials) and $P=\frac{1}{4}$ (probability of the event). So, $E=84\times\frac{1}{4}=21$.
Answer:
21