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# .