1 PH/s mining machine has a chonce to hit BTC during 20 days run. Less than 1 PH/s mining machine
got tiny or no chance to hit BTC during 1 year run as expectation.
Not sure your calculations are correct.
https://solochance.com/ Shows that 1PH gets you these odds / chances of finding a block:
Chance per block: 1 in 223,018
Chance per day: 1 in 1,549
Time estimate: 4 years