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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, LW, LLW} S = {W, WW, WWW} S = {WWW, WWL, WLW, , WLL, LWW, LWL, LLW, LLL} S = {W, WL, WWL, WWW}

Question

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, LW, LLW} S = {W, WW, WWW} S = {WWW, WWL, WLW, , WLL, LWW, LWL, LLW, LLL} S = {W, WL, WWL, WWW}

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Solution

The sample space for this random experiment is S = {W, LW, LLW, LLL}. This is because the person will stop playing as soon as they win a game, but they will not play more than 3 games. Therefore, the possible outcomes are that they win on the first game (W), they lose the first game but win the second (LW), they lose the first two games but win the third (LLW), or they lose all three games (LLL).

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