One card is selected from a deck of playing cards. Determine the probability of selecting:

a card greater than 9 or a black card.

hmmmmm....i don't play cards, i'm not even sure how many is in a deck...38??

No problem! A standard deck of playing cards actually contains 52 cards. It consists of four suits (hearts, diamonds, clubs, and spades), with each suit having 13 cards (Ace through 10, and then Jack, Queen, and King).

To determine the probability of selecting a card greater than 9 or a black card, we need to find the number of favorable outcomes (cards that meet the criteria) and divide it by the total number of possible outcomes (all the cards in the deck).

First, let's determine the number of cards greater than 9 in the deck. There are four 10s, four Jacks, four Queens, and four Kings, making a total of 16 cards.

Next, let's determine the number of black cards. In each suit (clubs and spades), there are five cards (from 2 to 10), making a total of 10 black cards.

However, we must be careful not to count any double-counted cards. Since the number 10 was included in both calculations, we need to subtract one occurrence of the number 10 from the total.

So, the total number of favorable outcomes (cards greater than 9 or black cards) is 16 + 10 - 1 = 25.

The total number of possible outcomes (cards in the deck) is 52.

Therefore, the probability of selecting a card greater than 9 or a black card is 25/52, which can be simplified to 12/26 or 6/13.

No worries! I'm here to help. A standard deck of playing cards consists of 52 cards. It is divided into four suits: hearts (♥), diamonds (♦), clubs (♣), and spades (♠).

In each suit, there are 13 cards: Ace (A), 2 through 10, and the face cards Jack (J), Queen (Q), and King (K).

To determine the probability of selecting a card that is greater than 9 or a black card, we can count the total number of cards that satisfy this condition and divide it by the total number of cards in the deck.

First, let's count the number of cards greater than 9. In each suit, there are 4 face cards (J, Q, K), so a total of 4 * 4 = 16 cards are greater than 9.

Next, let's count the number of black cards. In a deck, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 clubs and 13 spades).

Now, we need to find the probability of selecting a card greater than 9 or a black card. To do this, we need to add the number of cards that satisfy either condition and subtract the number of cards that satisfy both conditions. This is done to avoid double-counting those cards.

The probability can be calculated as follows:
P(greater than 9 or black) = (Number of cards greater than 9 + Number of black cards - Number of cards greater than 9 and black) / Total number of cards in the deck

Number of cards greater than 9 or black = (16 + 26 - 8) / 52
Number of cards greater than 9 and black = 8 (two black face cards, which are the Jack and the King)

Therefore, P(greater than 9 or black) = 34/52 ≈ 0.6538 or about 65.38%

So, the probability of selecting a card that is either greater than 9 or a black card is approximately 65.38%.

A deck of cards has 52 cards -- 13 in each of four suits.

Two suits are red: hearts and diamonds
Two suits are black: clubs and spades

The cards in each suit (in order): 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace.

oh thank you Ms. Sue....so the probability would be 31/52 or 0.596??