What is the probability that no consecutive heads occur on t

What is the probability that no consecutive heads occur on three tosses of a coin?

Solution

Let\'s begin with the long. These are all the possibilities...

1. HHH
2. HTH
3. HHT
4. HTT
5. TTT
6. THT
7. TTH
8. THH

The probability is 1/8.

This is the short approach...
1/2³=probability

The number 2 is the total possibilities-per-toss; head or tail.
The number 3 is the total number of tosses.