Information Variables:                      Values: 

                            My Weight                                       6000    
                            Network Weight1                     5,621,326   
                            Network Weight2                     11,242,651  
                                Network Weight3                     22,485,302  

Formula
My Weight / Network Weight1 Prob of Staking with Network Weight1 0.001067
My Weight / Network Weight2 Prob of Staking with Network Weight2 0.000534
My Weight / Network Weight3 Prob of Staking with Network Weight3 0.000267

Binomial Distribution
Probability Formula for 0 rewards case:

(1-Prob of Staking)^{number of trials}

Weight1 Probability receiving >=1 Rewards (1-.001067)⁶⁷⁵ Probability of receiving 0 rewards in 675 (1 day) 48.63% 51.37% (1-.001067)⁴⁷²⁵ Probability of receiving 0 rewards in 4725 (7 days) 0.64% 99.36% (1-.001067)⁹⁴⁵⁰ Probability of receiving 0 rewards in 9450 (14 days) 0.00% 100.00% (1-.001067)¹⁴¹⁷⁵ Probability of receiving 0 rewards in 14175 (21 days) 0.00% 100.00%

Weight2
(1-.000534)⁶⁷⁵ Probability of receiving 0 rewards in 675 (1 day) 69.74% 30.26% (1-.000534)⁴⁷²⁵ Probability of receiving 0 rewards in 4725 (7 days) 8.03% 91.97% (1-.000534)⁹⁴⁵⁰ Probability of receiving 0 rewards in 9450 (14 days) 0.64% 99.36% (1-.000534)¹⁴¹⁷⁵ Probability of receiving 0 rewards in 14175 (21 days) 0.05% 99.95%

Weight3
(1-.000267)⁶⁷⁵ Probability of receiving 0 rewards in 675 (1 day) 83.52% 16.48% (1-.000267)⁴⁷²⁵ Probability of receiving 0 rewards in 4725 (7 days) 28.34% 71.66% (1-.000267)⁹⁴⁵⁰ Probability of receiving 0 rewards in 9450 (14 days) 8.03% 91.97% (1-.000267)¹⁴¹⁷⁵ Probability of receiving 0 rewards in 14175 (21 days) 2.28% 97.72%