A deck of cards contains CCC gold coin cards, SSS prohibition cards and BBB bomb cards. Now shuffle the stack randomly and draw cards one by one until the stack is empty or the game is over. 1. If you draw a gold coin card, get it and continue the game. 2. If you draw a prohibition card, end the game. 3. If you draw the bomb card, discard all the gold cards you have obtained and end the game. Calculate the Expectation of the number of gold coin cards that can be obtained after the game.
A deck of cards contains CCC gold coin cards, SSS prohibition cards and BBB bomb cards. Now shuffle the stack randomly and draw cards one by one until the stack is empty or the game is over. 1. If you draw a gold coin card, get it and continue the game. 2. If you draw a prohibition card, end the game. 3. If you draw the bomb card, discard all the gold cards you have obtained and end the game. Calculate the Expectation of the number of gold coin cards that can be obtained after the game.
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