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?
Can someone please explain why the correct answer is S = {W, LW, LLW, LLL}?
I'm having trouble understanding this! Thank you.
The person plays blackjack till he wins or maximum 3 times. (Once the result is W, he stops playing. There wont be any more games) This means that on the first game itself if he win, he will stop playing. So, W is in sample space.
Imagine that he lost first game, then he will try again and then on second time he he wins, he will stop playing. So, LW is in sample space.
If he loses second time also, he will play third time. Then regardless of the outcome, he will stop playing the game. So, both possibilities are there. that is, he can win third game of lose third game. Hence, bot LLW and LLL are in sample space.
Answer is {W, LW, LLW, LLL}
A person in a casino decides to play blackjack until he wins a game, but he...
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? S = {LLL, LLW, LWL, LWW, WLL, WLW, WWL, WWW} S = {L, LW, LLW, LLL} S = {L, LL, LLL} S = {L, WL, WWL, WWW} S = {L, WL, WWL}
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}
A person in a casino decides to play 3 games of blackjack. Let W denote a win and L denote a loss. Define the event A as “the person wins at least one game of blackjack”. What are the possible outcomes for this event? {W, LW, LLW} {W, WW, WWW} {WWW, WWL, WLW, WLL, LWW, LWL, LLW, LLL} {WWW, WWL, WLW, WLL, LWW, LWL, LLW} {WWL, LWL, LLW} Could someone please explain the logic of finding the right answer to...
A person in a casino decides to play 3 games of blackjack. Let L denote a loss and W denote a win. Define the event A as "the person loses at least one game of blackjack." What are the possible outcomes for this event? {LLL, LLW, LWL, LWW, WLL, WLW, WWL} {LLL, LLW, LWL, LWW, WLL, WLW, WWL, WWW} {LWW, WLW, WWL} {L, WL, WWL} {L, LL, LLL}
A person in a casino decides to play 3 games of blackjack. Let L denote a loss and W denote a win. Define the event A as "the person loses at least one game of blackjack." What are the possible outcomes for this event? a. {LLL, LLW, LWL, LWW, WLL, WLW, WWL} b. {LLL, LLW, LWL, LWW, WLL, WLW, WWL, WWW} c. {LWW, WLW, WWL} d. {L, WL, WWL} e.{L, LL, LLL}