The Emperor card game consists of three card types: the Emperor card, the Citizen card, and the Slave card. The Emperor card defeats the Citizen card, the Citizen card defeats the Slave card, but the Slave card defeats the Emperor. Two Citizen cards make a draw. The game is played with one player having 1 Emperor card and 4 Citizen cards (Emperor side), while the other player has 1 Slave card and 4 Citizen cards. To play a single round, both players choose 1 card from their hand, place the cards face down on the table, then both cards are revealed at the same time to reveal the winner. If the result is a draw, the round continues to a second play with the previously played cards removed. The round ends at the second play, whether it is draw, or there is a winner. Now, suppose that you are playing the Slave side for a single round. Assume that each of the 5 cards held by you and your opponent are equally likely to be played, at any point of the round. What is the probability that you win the round (you play the Slave card and the opponent plays their Emperor card)? Select one: O a. 0.04 O b. 0.0025 O c. 0.4 O d. 0.08 OP 0.25
The Emperor card game consists of three card types: the Emperor card, the Citizen card, and the Slave card. The Emperor card defeats the Citizen card, the Citizen card defeats the Slave card, but the Slave card defeats the Emperor. Two Citizen cards make a draw. The game is played with one player having 1 Emperor card and 4 Citizen cards (Emperor side), while the other player has 1 Slave card and 4 Citizen cards. To play a single round, both players choose 1 card from their hand, place the cards face down on the table, then both cards are revealed at the same time to reveal the winner. If the result is a draw, the round continues to a second play with the previously played cards removed. The round ends at the second play, whether it is draw, or there is a winner. Now, suppose that you are playing the Slave side for a single round. Assume that each of the 5 cards held by you and your opponent are equally likely to be played, at any point of the round. What is the probability that you win the round (you play the Slave card and the opponent plays their Emperor card)? Select one: O a. 0.04 O b. 0.0025 O c. 0.4 O d. 0.08 OP 0.25
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Transcribed Image Text:The Emperor card game consists of three card types: the Emperor card, the Citizen card, and the Slave card. The Emperor card defeats the Citizen card, the Citizen card
defeats the Slave card, but the Slave card defeats the Emperor. Two Citizen cards make a draw. The game is played with one player having 1 Emperor card and 4 Citizen
cards (Emperor side), while the other player has 1 Slave card and 4 Citizen cards.
To play a single round, both players choose 1 card from their hand, place the cards face down on the table, then both cards are revealed at the same time to reveal the
winner. If the result is a draw, the round continues to a second play with the previously played cards removed. The round ends at the second play, whether it is draw, or there
is a winner.
Now, suppose that you are playing the Slave side for a single round. Assume that each of the 5 cards held by you and your opponent are equally likely to be played, at any
point of the round. What is the probability that you win the round (you play the Slave card and the opponent plays their Emperor card)?
Select one:
O a. 0.04
O b. 0.0025
O c. 0.4
O d. 0.08
O e.
0.25
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