Probability of or time to find a block with 32ksols/s

Mining Mining Support
1

How would I go about finding the probability of finding a block in 4 days with 32k sol/s?

I found this post on finding out for bitcoin:

difficulty (d) = 43160562 Sol/s
your hash rate (s) = 235
block time (b) = 2 minutes

( 1/s/d * b ) / 60 = # of hours to find a block

P(b) = s/d = 235/43160562 = 0.00000544478545
1/0.00000544478545 = 183661.965964 blocks
183661.96596415015765 * 2 = 367323.931928 / 60 = 6122.06 hours or 255 days.
Would the same logic apply to zcash?
These would be the zcash stats today…
d= 6,517,000
s= 32,000
b= 2.5 minutes(edited)

If I do the same math applied to Zcash I get 8.4 hours a block with 32,000 sols/s
does that sound right?

And does finding a block mean getting the payout or is there such as mining empty blocks?..

2

network rate is 350M now, if you have 32K then it’s 1/11000 of network total, so you will find around 1 of 11000 blocks.

there are 24 blocks per hour, so you will get one block in about 19 days but actually more since difficulty is constantly increasing.

3

Thank you for your response. And finding a block means getting the block reward right? You can’t mine an empty block or something? I can afford that hashpower for 4 days so is there a very good chance of finding a real block?

4

block means reward and transaction fees, yes.

4 of 19 is 20% chance, i’d say it’s too low and go with a pool which is much more predictable.

are you sure it’s 32K and not just 32?