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)
.
.
.
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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 .
5 heads -
4 heads -
3 heads -
2 heads -
1 head -
0 heads -
These are also numbers in the 6th row of Pascal's triangle of binomial coefficients.
