Question

You toss five fair coins. The probability that all five coins land heads is

Answer 1

Answer:

1/32

Step-by-step explanation:

The question asks the probability that all five coins land heads

Answer 2

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 .
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.