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Create an image of an ordinary deck of cards spread out in a fan-like shape. Towards the front of the image, focus on a single card flipped showing its face. The card is the Ace of Hearts, vibrant red in color and intricately patterned. To emphasize, show some of the other cards partially turned over, revealing their identities as black suits - Spades and Clubs. The setting is on a smooth velvet table cloth, under a mellow, golden lighting. No text should appear in the image.

A single card is drawn at random from an ordinary deck of cards. Find the probability that is either an ace or a black card. Answer to 3 decimal places.

2 + 26 = 28

28/52 = 0.538

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A single card is drawn at random from an ordinary deck of cards. Find the probability
that it is either an ace or a black card.

Well, I guess you could say the probability is as elusive as finding a good joke in a deck of cards. Let's break it down, shall we?

There are 4 aces in a deck, and there are also 26 black cards (13 spades and 13 clubs). So, if we add those two together, we get a total of 30 cards that are either an ace or a black card.

Now, we need to find the probability. The probability of drawing a single card that is either an ace or a black card can be calculated as the number of favorable outcomes (30) divided by the total number of possible outcomes (52).

Therefore, the probability is 30/52, which simplifies to 15/26. And if we want to be fancy and express it as a decimal, it equals approximately 0.577 when rounded to 3 decimal places.

So, the probability of drawing either an ace or a black card is approximately 0.577. But remember, in the game of life, probabilities can always be trumped by a funny bone!

To find the probability of drawing either an ace or a black card from a deck of cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

1. Number of favorable outcomes:
In a deck of cards, there are four aces (one for each suit: hearts, diamonds, clubs, spades) and 26 black cards (clubs and spades). However, we must note that there is one black ace among the four aces. So, the number of favorable outcomes is 4 (aces) + 26 (black cards) - 1 (black ace) = 29.

2. Total number of possible outcomes:
An ordinary deck of cards contains 52 cards, so there are 52 possible outcomes when drawing a card at random.

3. Calculation of probability:
The probability of drawing either an ace or a black card is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.

P(Ace or Black Card) = Number of Favorable Outcomes / Total number of Possible Outcomes
= 29 / 52
= 0.557 (rounded to 3 decimal places)

So, the probability of drawing either an ace or a black card is approximately 0.557.