Question 889622: A coin is tossed four times. Show the sample space and find the probability of getting a simple event of three heads and one tails.
I know the sample space is {heads,tails}, but I am confused for the probability portion of the question.
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A coin is tossed four times. Show the sample space and find the probability of getting a simple event of three heads and one tails.
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Sample Space::
4 heads:: hhhh
3 heads:: thhh,hthh,hhth,hhht
2 heads:: tthh,htth,hhtt,htht,thth,thht
1 head::: httt,thtt,ttht,ttth
0 heads:: tttt
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P(3heads and one tail) = 4/16 = 1/4
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Cheers,
Stan H.
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Answer by Edwin McCravy(20060)  (Show Source):
You can put this solution on YOUR website!
The sample space is not just {heads,tails}. That would be the sample
space if you were only going to toss the coin one time. Here is the
sample space:
{HHHH,HHHT,HHTH,HHTT,HTHH,HTHT,HTTH,HTTT,THHH,THHT,THTH,THTT,TTHH,TTHT,TTTH,TTTT}
I've colored red all the cases that have three heads and 1 tail.
That's 4 out of 16, so the probability is  which reduces to 
So th of the time on the average you'll get three heads and 1 tail.
Edwin
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