Asked by Sharolyn Campbell on Jun 28, 2024
Verified
Consider a game that consists of dealing out a hand of two random cards from a deck of four cards.The deck contains the Ace of Spades (As) ,the Ace of Hearts (Ah) ,the King of Spades (Ks) and the 9 of Hearts (9h) .Aces count as 1 or 11.Kings count as 10.You are interested in the total count of the two cards,with a maximum count of 21 (that is,AsAh = 12) .If the total of the two cards dealt out is higher than the total of the two remaining cards you win the game.Is winning independent or dependent of the event of having the King of Spades?
A) Dependent.P(Win) = P(Win|King of Spades) .
B) Dependent.P(Win) ≠ P(King of Spades|Win) .
C) Independent.P(Win) = P(Win|King of Spades) .
D) Dependent.P(Win) ≠ P(Win|King of Spades) .
E) Independent.P(Win) ≠ P(Win|King of Spades) .
Ace of Spades
A playing card with a single spade symbol and an ace rank, often considered to be the highest card in card games.
Ace of Hearts
One of the 52 playing cards in a standard deck, recognized by a single heart symbol and an 'A' indicating its rank.
King of Spades
A playing card in the spade suit, traditionally depicted with a king holding a sword.
- Understand the concept of dependence and independence in probability.
- Calculate conditional probabilities in various contexts.
Verified Answer
ZK
Zybrea KnightJul 03, 2024
Final Answer :
D
Explanation :
The probability of winning changes depending on whether you have the King of Spades in your hand or not, making the events dependent.
Learning Objectives
- Understand the concept of dependence and independence in probability.
- Calculate conditional probabilities in various contexts.