If you flip a coin three times, what is the

Vagotonusybk

Vagotonusybk

Answered question

2022-02-12

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

Answer & Explanation

Skaftau0k

Skaftau0k

Beginner2022-02-13Added 10 answers

To calculate the probability you have to name all possible results first. If you mark a result of a single coin flip as H for heads or T for tails all results of 3 flips can be written as:
Ω={(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 1st, 2nd and 3rd coin. So you can see that in total there are 8 elementary events in Ω.
|Ω|=8
Now we have to define event A of getting tails three times.
The only elementary event which satisfies this condition is (T, T, T) so we can write that:
A={(T,T,T)}
|A|=1
Now according to the (classic) definition of probability we can write, that:
P(A)=|A||Ω|=18
So finally we can write the answer:
Probability of getting 3 tails in 3 coin flips is 18.

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