The word "faster" is probably misleading and wrong to use, it doesn't matter how fast you are, blocks are found once every 10 minutes on average regardless. also, keep in mind that miners are not working on the same block, and there is no such thing as "the next block", every miner is working on a different unique block candidate, a pool that has 20% of the hashrate is very likely to find 20% of the blocks at no exact order, speed or pace.
Let's say the last block that has been mined is block number n. Now all miners (or mining pools) are trying to mine block number n+1 and there's a competition between them for that.
The miner (or a mining pool) that finds a block header which result to a number below the target if it's hashed twice through SHA-256 function wins the competition. This is why I used the word "faster". All miners (or mining pools) try to find a good block header faster than other miners and be the one who broadcast a good block header to the network.
The chance of a mining pool with 40% of the total computation power to win the competition is twice the chance of a mining pool with 20% of the total computation power.
In the long term, it's expected that the the mining pool with 40% of the total computation power mine twice as many blocks as the mining pool with 20% of the total computation power.
Correct me if I am wrong, please.
I know blocks are always mined at the rate of 1 per ~ 10 minutes on average and each mining pool can have their own candidate block.
Although mining pools that have a larger share of computing resources have a greater chance of being successful in the competition, it is not an absolute guarantee that they will consistently outperform mining pools with a smaller share of computing resources. Additionally, as time passes, the distribution of computing power among mining pools may undergo changes. Mining pools with lower computing power can gradually increase their capabilities and impact the allocation of mined blocks. Therefore, although there is a correlation between higher computing power and increased block mining, the results can be influenced by factors such as competition, strategic approaches, and fluctuations in the distribution of computing power. Please correct me if my opinion is also wrong.