Question

A person in a casino decides to play blackjack until he loses a game, but he will not play more than 3 games. Let L denote a loss and W denote a win.

What is the sample space for this random experiment?

a. S = {LLL, LLW, LWL, LWW, WLL, WLW, WWL, WWW}
b. S = {L, LW, LLW, LLL}
c. S = {L, LL, LLL}
d. S = {L, WL, WWL, WWW}
e.S = {L, WL, WWL}

Answer 1

d. S = {L, WL, WWL, WWW}

If he plays first game and loses, the outcome is L, if he wins the first game, he will play again and then if he loses, the outcome is WL. If he wins the second, no matter if he win or lose, he will stop. So, the ourtocmes are WWW and WWL