A person in a casino decides to play blackjack until he wins a game, but he will not play more than 3 games. Let W denote a win and L denote a loss. What is the sample space for this random experiment?
S = {W, LW, LLW, LLL}
S = {W, WW, WWW}
S = {W, WL, WWL, WWW}
S = {W, LW, LLW}
S = {WWW, WWL, WLW, , WLL, LWW, LWL, LLW, LLL}
The sample space is the last choice. If he is playing 3 games, he has the chance to win all 3, win 2 then lose the 3rd, win the first, lose the second and win the third, etc.