Lucas is fishing in a pond where there are exactly 333 walleye and 111 catfish. He has an equal chance of catching each fish. If Lucas catches a catfish, the game warden will make him stop fishing because catfish are currently quite endangered in this pond. When Lucas catches a walleye, he keeps it so that he can feed his entire family. If he can catch all 333 walleye in the pond, he can feed his family which is worth a total of \$100$100dollar sign, 100 to him. If he can catch 222 walleye, he will only be able to feed himself, which is worth \$20$20dollar sign, 20 to him. Any other outcome is worth \$0$0dollar sign, 0 to Lucas.
What is the expected value of Lucas going fishing?