SOLUTION: A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads. Pick from the following

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Question 149445: A fair coin is tossed 5 times. What is the probability of obtaining exactly 3 heads. Pick from the following

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The answer is 10/32=5/16.
Here's how.
At each step the choice is either heads or tails.
First toss, H or T.
Second toss, HH HT TH TT (example:first toss was H, second could be H or T and so on)
.
.
.
.
continue this way until you make a table with all possible values beginning with HHHHH and ending with TTTTT.
H H H H H
H H H H T
H H H T H
H H H T T
H H T H H
H H T H T
H H T T H
H H T T T
H T H H H
H T H H T
H T H T H
H T H T T
H T T H H
H T T H T
H T T T H
H T T T T
T H H H H
T H H H T
T H H T H
T H H T T
T H T H H
T H T H T
T H T T H
T H T T T
T T H H H
T T H H T
T T H T H
T T H T T
T T T H H
T T T H T
T T T T H
T T T T T
T T T T T
T T T T T
T T T T T
You will have 32 possible outcomes 32=2%5E5.
5 heads - 1%2F32
4 heads - 5%2F32
3 heads - 10%2F32
2 heads - 10%2F32
1 head - 5%2F32
0 heads - 1%2F32
1%2B5%2B10%2B10%2B5%2B1=32
These are also numbers in the 6th row of Pascal's triangle of binomial coefficients.