Each card in a standard deck of cards has a rank and a suit. The cards are ranked from 2 to 10, followed by the 3 face cards: Jack, Queen, King, and the highest ranked card is the Ace, for a total of 13 card ranks. There are four card suits (spades -, clubs hearts -, diamonds -). In total, the deck has 52 cards with a rank and a suit. A casino might use digital cards displayed on a screen, which allows the dealer to deal from a deck with an infinite number of cards. When a card, (e.g., Q♥) is "dealt" from this infinitely large deck, there are still an infinite number of that card remaining in the deck. The following questions assume that we are talking about an infinitely large deck of digital cards containing no jokers. Indicate probabilities as percentages to 2 decimal places (e.g., .66666.. = 66.67%). 1. When dealing a card from this deck to each player, why are these random samples? 2. What is the size of the sample space for drawing a single card? 3. What is the probability that you are dealt a(n) even-numbered card
Each card in a standard deck of cards has a rank and a suit. The cards are ranked from 2 to 10, followed by the 3 face cards: Jack, Queen, King, and the highest ranked card is the Ace, for a total of 13 card ranks. There are four card suits (spades -, clubs hearts -, diamonds -). In total, the deck has 52 cards with a rank and a suit. A casino might use digital cards displayed on a screen, which allows the dealer to deal from a deck with an infinite number of cards. When a card, (e.g., Q♥) is "dealt" from this infinitely large deck, there are still an infinite number of that card remaining in the deck. The following questions assume that we are talking about an infinitely large deck of digital cards containing no jokers. Indicate probabilities as percentages to 2 decimal places (e.g., .66666.. = 66.67%). 1. When dealing a card from this deck to each player, why are these random samples? 2. What is the size of the sample space for drawing a single card? 3. What is the probability that you are dealt a(n) even-numbered card
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Each card in a standard deck of cards has a rank and a suit. The cards are ranked from
2 to 10, followed by the 3 face cards: Jack, Queen, King, and the highest ranked card is
the Ace, for a total of 13 card ranks. There are four card suits (spades -, clubs
hearts -, diamonds -). In total, the deck has 52 cards with a rank and a suit. A
casino might use digital cards displayed on a screen, which allows the dealer to deal
from a deck with an infinite number of cards. When a card, (e.g., Q) is "dealt" from this
infinitely large deck, there are still an infinite number of that card remaining in the deck.
The following questions assume that we are talking about an infinitely large deck of
digital cards containing no jokers. Indicate probabilities as percentages to 2 decimal
places (e.g., .66666... = 66.67%).
1. When dealing a card from this deck to each player, why are these random samples?
|2. What is the size of the sample space for drawing a single card?
3. What is the probability that you are dealt a(n) even-numbered card
|4. What is the probability that you are dealt a(n) club face card
| 5. In a game called Blackjack, the goal is to have cards worth as close as possible to
21 points, without going over. Each numbered cards is worth its rank value (e.g., a
40 is worth 4 points) and the face cards are worth 10 points. An Ace is worth either
1 or 11 points (your choice). Suppose you were already dealt a 8 V and 9 . If
you ask to be dealt 1 more card, what is the probability that your total points will not
exceed 21?
|6. You automatically win with a "Blackjack" hand if you score 21 by being dealt an Ace
(11 points) and either Jor J(10 points). What is the probability of winning with a
Blackjack hand?
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