Using R Programming: Sic Bo, also known as Big and Small, is a popular game played in casinos in Macau. The dealer picks up a box that contains 3 dice, shakes up the box, and opens the box to reveal the number on each die. If the sum is between 4 and 10, betting on small wins. If the sum is between 11 and 17, betting on big wins. The payoffs for betting on big and small are 1 to 1, meaning if you bet $10 and you win, you get your bet back plus another $10, meaning you end up with $20. And if you lose, you lose your $10. - Estimate the probabilities of winning if you bet "Big" and winning if you bet "Small." Does it appear that the casino has an edge? Suppose you bet \$1 on "Big" every time the game is played. What are your expected -

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Using R Programming:
Sic Bo, also known as Big and Small, is a
popular game played in casinos in Macau.
The dealer picks up a box that contains 3 dice,
shakes up the box, and opens the box to
reveal the number on each die. If the sum is
between 4 and 10, betting on small wins. If
the sum is between 11 and 17, betting on big
wins. The payoffs for betting on big and smal
are 1 to 1, meaning if you bet $10 and you
win, you get your bet back plus another $10,
meaning you end up with $20. And if you
lose, you lose your $10.
Estimate the probabilities of winning if you
bet "Big" and winning if you bet "Small." Does
it appear that the casino has an edge?
Suppose you bet \$1 on "Big" every time
the game is played. What are your expected
earnings? How much does the casino win?
Note that every time you lose, the casino wins
the /$1 that you bet.
-
Transcribed Image Text:Using R Programming: Sic Bo, also known as Big and Small, is a popular game played in casinos in Macau. The dealer picks up a box that contains 3 dice, shakes up the box, and opens the box to reveal the number on each die. If the sum is between 4 and 10, betting on small wins. If the sum is between 11 and 17, betting on big wins. The payoffs for betting on big and smal are 1 to 1, meaning if you bet $10 and you win, you get your bet back plus another $10, meaning you end up with $20. And if you lose, you lose your $10. Estimate the probabilities of winning if you bet "Big" and winning if you bet "Small." Does it appear that the casino has an edge? Suppose you bet \$1 on "Big" every time the game is played. What are your expected earnings? How much does the casino win? Note that every time you lose, the casino wins the /$1 that you bet. -
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