Question

if you flip a fair coin 5 times, and see 3 heads and 2 tails, what fraction of the time will you expect to see a head on the sixth flip?
a. $\frac{1}{64}$
b. $\frac{1}{2}$
c. $\frac{3}{5}$
d. $\frac{2}{3}$
e. $\frac{5}{6}$

Explanation:

Step1: Recall coin - flip property

Coin - flips are independent events. The outcome of previous flips does not affect the outcome of the next flip.

Step2: Determine probability of head

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

Answer:

B. $\frac{1}{2}$