Question

If you flip three fair coins, what is the probability that you'll get a tail on the first flip, a head on the second flip, and another tail on the third flip?

Answer 1

Answer:

12.5%

Step-by-step explanation:

Probabilities

When flipping three fair coins, we can get the following events, being H=Heads, T=Tails

$\Omega=\{HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\}$

We are looking for the probability of only one specific outcome: THT. The probability to get exactly that combination one out of 8 possible results, that is

$\displaystyle P=\frac{1}{8}=0.125$

The probability to get a tail on the first flip, a head on the second flip, and another tail on the third flip is 12.5%