....29 Louisiana is busy designing new lottery scratch- off games. In the latest game, Bayou Boondoggle, the player is instructed to scratch off one spot: A, B, or C. A can reveal "Loser," "Win $1," or "Win $50." B can reveal "Loser" or "Take a Second Chance." C can reveal "Loser" or "Win $500." On the second chance, the player is instructed to scratch off D or E. D can reveal "Loser" or "Win $1.” E can reveal "Loser" or "Win $10.” The probabilities at A are .9, .09, and .01. The probabilities at B are .8 and .2. The probabilities at C are .999 and .001. The probabilities at D are .5 and .5. Finally, the probabilities at E are .95 and .05. Draw the decision tree that represents this scenario. Use proper symbols and label all branches clearly. Calculate the expected value of this game.
....29 Louisiana is busy designing new lottery scratch- off games. In the latest game, Bayou Boondoggle, the player is instructed to scratch off one spot: A, B, or C. A can reveal "Loser," "Win $1," or "Win $50." B can reveal "Loser" or "Take a Second Chance." C can reveal "Loser" or "Win $500." On the second chance, the player is instructed to scratch off D or E. D can reveal "Loser" or "Win $1.” E can reveal "Loser" or "Win $10.” The probabilities at A are .9, .09, and .01. The probabilities at B are .8 and .2. The probabilities at C are .999 and .001. The probabilities at D are .5 and .5. Finally, the probabilities at E are .95 and .05. Draw the decision tree that represents this scenario. Use proper symbols and label all branches clearly. Calculate the expected value of this game.
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
Related questions
Question
![....29
Louisiana is busy designing new lottery scratch-
off games. In the latest game, Bayou Boondoggle, the player
is instructed to scratch off one spot: A, B, or C. A can reveal
"Loser," "Win $1," or "Win $50." B can reveal "Loser" or "Take
a Second Chance." C can reveal "Loser" or "Win $500." On the
second chance, the player is instructed to scratch off D or E. D
can reveal "Loser" or "Win $1.” E can reveal "Loser" or "Win
$10.” The probabilities at A are .9, .09, and .01. The probabilities
at B are .8 and .2. The probabilities at C are .999 and .001. The
probabilities at D are .5 and .5. Finally, the probabilities at E are
.95 and .05. Draw the decision tree that represents this scenario.
Use proper symbols and label all branches clearly. Calculate the
expected value of this game.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61643fcf-6c9c-4b30-9cd8-97d11e5075d4%2F45270d0a-4076-4f7e-99df-cd77d4811cf5%2Fsu3oh3i_processed.png&w=3840&q=75)
Transcribed Image Text:....29
Louisiana is busy designing new lottery scratch-
off games. In the latest game, Bayou Boondoggle, the player
is instructed to scratch off one spot: A, B, or C. A can reveal
"Loser," "Win $1," or "Win $50." B can reveal "Loser" or "Take
a Second Chance." C can reveal "Loser" or "Win $500." On the
second chance, the player is instructed to scratch off D or E. D
can reveal "Loser" or "Win $1.” E can reveal "Loser" or "Win
$10.” The probabilities at A are .9, .09, and .01. The probabilities
at B are .8 and .2. The probabilities at C are .999 and .001. The
probabilities at D are .5 and .5. Finally, the probabilities at E are
.95 and .05. Draw the decision tree that represents this scenario.
Use proper symbols and label all branches clearly. Calculate the
expected value of this game.
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