In the game of blackjack as played in casinos in Las Vegas,
Atlantic City, Niagara Falls,...
In the game of blackjack as played in casinos in Las Vegas,
Atlantic City, Niagara Falls, as well as many other cities, the
dealer has the advantage. Most players do not play very well. As a
result, the probability that the average player wins a hand is
about 0.31. Find the probability that an average player wins
a) twice in 5 hands
b) 10 or more times in 24 hands
There are several books that teach blackjack players the "basic...
In the game of blackjack as played in casinos in Las Vegas,
Atlantic City, Niagara Falls,...
In the game of blackjack as played in casinos in Las Vegas,
Atlantic City, Niagara Falls, as well as many other cities, the
dealer has the advantage. Most players do not play very well. As a
result, the probability that the average player wins a hand is
about 0.44. Find the probability that an average player wins
A. twice in 5 hands.
Probability =
B. 11 or more times in 24 hands.
Probability =
There are several books that teach...
One of the ways that players can increase their odds of winning
at blackjack is by...
One of the ways that players can increase their odds of winning
at blackjack is by keeping track of what cards have been played,
and using that information to decide what to do. To counteract this
strategy, casinos usually run games with 6 to 8 decks shuffled
together and machines to continuously shuffle the cards, making it
all but impossible to count the cards. As a result, when
calculating odds for casino games of blackjack we can make the
simplifying...
Suppose you are playing a game of five-card poker where you are
dealt a hand of...
Suppose you are playing a game of five-card poker where you are
dealt a hand of 5 cards from a standard deck of 52 playing cards.
Each card has one of 13 values, 2,3,…,10,J,Q,K,A2,3,…,10,J,Q,K,A,
and one of 4 suits, ♡,♢,♠,♣♡,♢,♠,♣
A hand called a royal flush consists of cards of
the values 10,J,Q,K,A10,J,Q,K,A, all from the same suit. For
instance, a royal flush with hearts would be
10♡,J♡,Q♡,K♡,A♡10♡,J♡,Q♡,K♡,A♡.
Now, actually getting a royal flush in poker is incredibly rare (in...
Bunco is a group dice game that requires no skill. The objective
of the game is...
Bunco is a group dice game that requires no skill. The objective
of the game is to accumulate points by rolling certain
combinations. The game is played with three dice, but we will
consider a simpler version involving only two dice. How do you play
two dice Bunco? There are six rounds, one for each of the possible
outcomes in a die, namely the numbers one through six. Going
clockwise, players take turns rolling two dice trying to score
points....
1. Consider a 45-ball lottery game. In total there are 45 balls
numbered 1 through to...
1. Consider a 45-ball lottery game. In total there are 45 balls
numbered 1 through to 45 inclusive. 4 balls are drawn (chosen
randomly), one at a time, without replacement (so that a ball
cannot be chosen more than once). To win the grand prize, a lottery
player must have the same numbers selected as those that are drawn.
Order of the numbers is not important so that if a lottery player
has chosen the combination 1, 2, 3, 4...