if you flip two coins 72 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 72 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 two coins is $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$.
Step2: Calculate expected number of times
We flip the two - coin set 72 times. The expected number of times both coins land on heads is the probability of both coins landing on heads times the number of trials. Let $n$ be the number of times both coins land on heads. Then $n = P\times N$, where $N = 72$ and $P=\frac{1}{4}$. So $n=\frac{1}{4}\times72 = 18$.
Answer:
18