I'd like to determine the probability of a fairly powerful miner (or pool) generating 6 sequential blocks in an hour. (so they would rebroadcast it later)
For example, given
- Hash/second: X
- A target of: Y
- A probability of getting 6 blocks in less than an hour: Z
What is the probability that sequential 6 blocks will be created in
- 1 hour
- 1 Day
- 1 Week
- 3 months
I'd like to find the formula to determine this so I can graph the exponential difficulty of how much power an attacker will need to thwart the network.
There is discussion that Litecoin is more resistant to this type of attack, but so far it seems unfounded. I'm looking for thought that would indicate otherwise.