A bag contains 1 gold marbles 10 silver marbles and 21 black

Last updated: 4/24/2023

A bag contains 1 gold marbles 10 silver marbles and 21 black marbles Someone offers to play this game You randomly select one marble from the bag If it is gold you win 3 If it is silver you win 2 If it is lack you lose 1 What is your expected value if you play this game