Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a face card or an Ace.Choose the correct probability of drawing a face card or an Ace. Answer choices are in the form of a percentage, rounded to the nearest whole number.
Question
Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a face card or an Ace.Choose the correct probability of drawing a face card or an Ace. Answer choices are in the form of a percentage, rounded to the nearest whole number.
Solution
To answer this question, we first need to understand the composition of a standard deck of cards. A standard deck has 52 cards: 4 suits of 13 cards each (hearts, diamonds, clubs, and spades).
In each suit, there are 3 face cards (King, Queen, Jack) and 1 Ace. So, in the entire deck, there are 4 suits * 3 face cards/suit = 12 face cards and 4 suits * 1 Ace/suit = 4 Aces.
The probability of drawing a face card or an Ace is calculated by dividing the total number of face cards and Aces by the total number of cards in the deck.
So, the total number of face cards and Aces is 12 face cards + 4 Aces = 16 cards.
Therefore, the probability of drawing a face card or an Ace is 16 cards / 52 cards = 0.3077.
To convert this to a percentage, we multiply by 100, which gives us 30.77%.
Rounded to the nearest whole number, the probability is approximately 31%.
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