# If you flip a coin three times, what is the probability of getting tails three times?

##### 1 Answer

#### Explanation:

To calculate the probability you have to name all possible results first. If you mark a result of a single coin flip as

#Omega={(H,H,H),(H,H,T),(H,T,H),(H,T,T),(T,H,H),(T,H,T),(T,T,H),(T,T,T)}#

Each triplet contains results on

#|Omega|=8#

Now we have to define event

The only elementary event which satisfies this condition is

#A={(T,T,T)}#

#|A|=1#

Now according to the (classic) definition of probability we can write, that:

#P(A)=|A|/|Omega|=1/8#

So finally we can write the answer:

Probability of getting 3 tails in 3 coin flips is#1/8# .