Answer:
1/8
Step-by-step explanation:
The probability of getting tails on a single flip is 1/2.
Each of the flips is an independent event so you must multiply the probability of getting tails on each flip together.
So, your answer will look like this
[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] ; which equals;
1/8
Answer:
1/8
Step-by-step explanation:
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, 2 nd and 3 rd 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 | = 1 /8
So finally we can write the answer:
The Probability of getting 3 tails in 3 coin flips is 1 /8 .
