>>224074824/10 chance for a single team to have lando.
Conversely, 6/10 chance for a single team to NOT have lando. Assume both you and your opponenents probability are independent. Multiply 6/10 (Yours) * 6/10 (Opponents) = 36/100 (Odds of neither you or opponent having tiger).
Flip it around, and you have a 64/100 chance to see a cat in every battle.