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

## 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
Homework Helper

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

p(the coin landed tail)=.5

Without using nCr
But Conditional Prbability

Well what answer did you get? :)

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

Delphi51
Homework Helper

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