One card is selected from a deck of playing cards. Determine the probability of selecting:
a card greater than 9 or a black card
26 black cards + 10 red cards above 9 = 36
Probability: 36/52 = 9/13
Ms. Sue, number of cards greater than 9 = 4 (suits) * 4 (10, j, Q, K) = 16
but that includes the 8 black cards greater than 9 already counted in the black cards. What is the final answer? I'm lost :(
You're looking for a card greater than 9 or a black card.
Which cards are considered greater than 9 depends upon the game you're playing. All of the games I play include the Ace as a high card.
ooooooh ok
The number of cards greater than 9 or black= the number of cards greater then 9 + the number of black cards - the number of black cards greater then 9
=5*4 + 26 - 5*2=36
Probability=36/52
what is the answer if the ace is considered a low card?
To determine the probability of selecting a card greater than 9 or a black card, we first need to count the number of cards that meet either condition, and then divide that number by the total number of cards in the deck.
In a standard deck of playing cards, there are a total of 52 cards. Out of these 52 cards, there are 4 suits: hearts ♡, diamonds ♢, clubs ♣, and spades ♠. Each suit has 13 cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King.
To calculate the probability, we need to count the number of cards that meet either condition.
1. Cards greater than 9:
In each suit (hearts, diamonds, clubs, and spades), there are 4 cards greater than 9: 10, Jack, Queen, and King. Therefore, there are a total of 4 * 4 = 16 cards greater than 9.
2. Black cards:
In each suit, there are 2 black cards: clubs and spades. Therefore, there are a total of 2 * 4 = 8 black cards.
Now, we need to determine the number of cards that satisfy both conditions (greater than 9 and black). Since there are no black cards greater than 9, this number is 0.
To find the probability, we add the number of cards greater than 9 (16) to the number of black cards (8), and subtract the cards that meet both conditions (0): 16 + 8 - 0 = 24.
Therefore, the probability of selecting a card that is greater than 9 or a black card is 24/52, which simplifies to 6/13.