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

  • Thread starter tictac123
  • Start date
  • #1
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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
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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31


I am not familiar with the notation you speak of, can you give me an example of what you're asking for?
 
  • #3
1,631
4


p(the coin landed tail)=.5
 
  • #4
4
0


Without using nCr
But Conditional Prbability
 
  • #5
623
0


Well what answer did you get? :)
 
  • #6
446
1


i also learning probability and just to ask those who have completed this, is the answer 1/6 ?
 
  • #7
Delphi51
Homework Helper
3,407
11


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
 

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