if you flip two coins 32 times, what is the best prediction possible for the number of times both coins will…
if you flip two coins 32 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 $\frac{1}{2}$. For two independent coin - flips, the probability of both being heads is $P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4}$ using the multiplication rule for independent events.
Step2: Find expected number of times
The expected value (or the best prediction) $E$ of the number of times an event occurs in $n$ trials is given by $E = n\times P$, where $n = 32$ (the number of trials) and $P=\frac{1}{4}$ (the probability of the event). So $E=32\times\frac{1}{4}=8$.
Answer:
8