Fish Math

How to ensure a pair of male-female for fish & Shrimp

Given N fishes/shrimp, what is the probabillity of having at least 1 male-female pair?

Probability = 1 – (Prob. Of all Male)- (Prob. Of all Female)

If you have 4 fishes, Probability of having a breeding pair = 87.50%

If you have 5 fishes, Probability of having a breeding pair = 93.75%

If you have 6 fishes, Probability of having a breeding pair = 96.88%

If you have 7 fishes, Probability of having a breeding pair = 98.44%

If you have 8 fishes, Probability of having a breeding pair = 99.22%