elizabeth is going to flip a fair coin 100 times. what is the best prediction for the number of times that…

Explanation:

Step1: Determine probability of tails

For a fair - coin, the probability of getting tails in a single flip is $p=\frac{1}{2}$.

Step2: Calculate expected number of tails

The expected number of tails $E(X)$ in $n = 100$ flips is given by $E(X)=n\times p$. Substituting $n = 100$ and $p=\frac{1}{2}$, we get $E(X)=100\times\frac{1}{2}=50$.

Step3: Consider nature of probability

In probability, when we make predictions, we expect the result to be close to the expected value, but due to randomness, it is not likely to be exactly the expected value.

Answer:

D. Close to 50 times but probably not exactly 50 times