These have a 0.5% inclusion rate as the fourth card in your pack, and a 2% inclusion rate as the fifth card
At the beginning of a game, players can flip a coin to see who plays first
P(0 Copies Prized): P(0 in hand) P(0 in prizes|0 in hand) + P(1 in hand) P(0 in prizes|1 in hand) + P(2 in hand) P(0 in prizes|2 in hand) = dhyper(0,2,58,7) dhyper(0,2,51,6) + dhyper(1,2,58,7) dhyper(0,1,52,6) + dhyper(2,2,58,7) 1 = 0.8084746 P(1 Copy Prized): P(0 in hand) P(1 in prizes|0 in hand) + P(1 in hand) P(1 in prizes|1 in hand) = dhyper(0,2,58,7) dhyper(1,2,51,6) + dhyper(1,2,58,7) dhyper(1,1,52,6) = 0.1830508 P(2 Copies Prized): P(0 in hand) P(2 in prizes|0 in hand) = dhyper(0,2,58,7) dhyper(2,2,51,6) = 0.008474576 Though this does look daunting, keep in mind that we are doing the same thing as before, just with a few more cases
It features a variety of Pokemon from the first and second generations, including Pikachu, Charizard and Blastoise