To find P(either you or dealer is dealt a
blackjack)
P(either you or dealer is dealt a
blackjack)
= P(exactly one player gets a
blackjack) (We are assuming both
will not get blackjack at the same
time)
Number of total deals to the two players
Number of ways exactly one player gets a blackjack
(i.e., 2C1 = choose which player to give the blackjack,
4C1 = choose which ace to give them, 16C1 = choose which 10,J,Q,K
to give them.
Then for the other player we either give them two aces from the 3
that are left (3C2),
give them one ace from the 3 that are left (3C1) and 1 of the
32(32C1) 2-9 cards,
or give them two non-aces from the 47 non-aces that are left
(47C2).)
P(either you or dealer is dealt a
blackjack)
=
0.09299
P(either you or dealer is dealt a blackjack) =
0.09299
2. (10 points) Suppose you are playing blackjack against a dealer. In a freshly shuffled deck, what is the probabil...
4. In one version of the game played by a dealer and a player, 2 cards of a standard 52-card bridge deck are dealt to the player and 2 cards to the dealer. For this exercise, assume that drawing an ace and a face card (Jack, Queen and King for each shape) is called blackjack. If the dealer does not draw a blackjack and the player does, the player wins. If both the dealer and player draw blackjack, a tie...
This is a question for a stats course for science students... In one version of the game played by a dealer and a player, 2 cards of a standard 52-card bridge deck are dealt to the player and 2 cards to the dealer. For this exercise, assume that drawing an ace and a face card (Jack, Queen and King for each shape) is called blackjack. If the dealer does not draw a blackjack and the player does, the player wins....
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Create a simplified Blackjack game using the Deck and Card classes (download the attached files to start). There is also a "TestCard" class that creates a Deck and runs some simple code. You may choose to use this file to help you get started with your game program. 1) Deal 2 cards to the "player" and 2 cards to the "dealer". Print both the player's cards, print one of the dealer's cards. Print the total value of the player's hand. 2) Ask...
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Suppose a standard deck of 52 playing cards is thoroughly shuffled and a single card is drawn. Suppose an ace has value 1, a jack has value 11, a queen has value 12, and a king has value 13. (a) Compute P(X = x) for every real number x, when X is the value of the card drawn. (b) Suppose that Y = 1, 2, 3, or 4 when a diamond, heart, club, or spade is drawn. Compute P(Y =...