Question

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 assumption that the casino is using an "infinite deck," which means that regardless of the cards that have already been dealt, each card (ignoring suits) has a 1/13 chance of being dealt next. This assumption only has a miniscule effect on the odds compared to a real game, but can make calculations much more straightforward.

To give you a more intuitive sense for how close a 6-deck game is to an infinite-deck game, probabilistically speaking, consider the following:

In a game of Blackjack played with 6 decks (312 cards), you look
out at the other **20 visible cards** on the table and
see 4 of the 24 aces.

The casino manager comes over at this point in the game and requests that the dealer shuffle 2 more full decks into the unused cards, bringing the total that you’re playing with up to 416 cards. About how much has the probability of being dealt another ace changed?

A) ≈1/75 - the probability that a pregnancy results in twins.

B) ≈1/500 - the probability of being born with 11 fingers or toes.

C) ≈1/12000 - the probability of getting struck by lightning in your lifetime.

Answer #1

There are 24 - 4 = 20 aces still exists in remaining 312-20 = 292 cards

probability of being dealt another ace = 20/292 = 0.0685

Now if dealer shuffle 2 more full decks into the unused cards, there will be 20 + 8 = 28 aces in 292 + 2 * 52 = 396 cards.

New probability of being dealt another ace = 28/396 = 0.0707

The change in probability of being dealt another ace = 0.0707 - 0.0685 = 0.0022 1/500

B) ≈1/500 - the probability of being born with 11 fingers or toes.

in
the game of blackjack played with one deck, a player is intially
dealt 2 different cards from the 52 different cards in the deck. A
winning "blackjack" hand is won by getting 1 of the 4 aces and 1 of
16 other cards worth 10 points. The two cards can be in any order.
Find the probability of being dealt a blackjack hand. What
approximate percentage of hands are winning blackjack hands?

In the game of BlackJack played with one deck, a
player is initially dealt 2 different cards from the 52 different
cards in the deck. A winning "blackjack" hand is won by getting 1
of the 4 aces and 1 of 16 other cards worth 10 points. The 2 cards
can be in any order. Find the probability of being dealt a
blackjack hand. What approximate percentage of hands are winning
blackjack hands?

Your group is required to develop a simple Android BlackJack
card game.
Part B – Group Submission (Do it on android studio)
i need the full working code in android studio
The program shall fulfil the following requirements:
1) There are total of 4 main features : User
authentication/login, game setting, playing game and view
history.
User Login
2) Allow the player to register new user account or login using
the existing account to play the game. Each user account...

Please Answer all 5 questions (2,4,5,6, and 7)
Question 2: At a summer camp, 72% of the
campers participate in rope climbing and 26% participate in
canoeing. 83% of the campers participate in rope climbing, canoeing
or both. what is the probability that a randomly selected camper
participate in both rope climbing and canoeing.
Answer choices: A) 0.11 B) 0.15 C) 0.69 D) 0.98 E)
Cannot Be Determined
Question 4: According to school records, your
school’s softball team wins 62% of...

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