What is the probability that the first toss was the tail?

[tictac123]

Homework Statement

A coin is tossed 3 times and you note that the coin lands heads exactly twice. What is the probability that the first toss was the tail?

The Attempt at a Solution

I've solved the problem manually not using notation.


So I want to try to solve with notation?

Thanks

 

[rock.freak667]

I am not familiar with the notation you speak of, can you give me an example of what you're asking for?

 

[sutupidmath]

p(the coin landed tail)=.5

 

[tictac123]

Without using nCr
But Conditional Prbability

 

[NoMoreExams]

Well what answer did you get? :)

 

[icystrike]

i also learning probability and just to ask those who have completed this, is the answer 1/6 ?

 

[Delphi51]

Tricky! I'm thinking of a manual solution like this:
The possible outcomes are HHT, HTH, THH.
BUT I'm wondering if I need to distinguish between the two H's so it is
HhT, hHT,HTh,hTH,THh,ThH