Question
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There are 52 cards in a standard deck of cards, with four suites: hearts, clubs, diamonds and spades.
Each suit has 13 cards: Ace, , Jack, Queen, King .
Let event be choosing a card with 7 out of a standard deck of cards.
Identify the numbers of each of the following. Enter the probability as a fraction:
Provide your answer below:
There are cards in the sample space.
There are cards in event A.
, is the probability that you choose a 7 out of the deck of cards.

Ask by Bowers Rowe. in the United States
Nov 21,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

There are 52 cards in the sample space. There are 4 cards in event A. .

Solution

In a standard deck of 52 cards, we can analyze the situation as follows:
  1. Sample Space: The total number of cards in the sample space is 52.
  2. Event A: The event is choosing a card with 7. There are four 7s in the deck (7 of hearts, 7 of clubs, 7 of diamonds, and 7 of spades).
  3. Probability of Event A: The probability is calculated as the number of favorable outcomes (cards that are 7) divided by the total number of outcomes (total cards in the deck).
Putting it all together, we have:
  • There are cards in the sample space.
  • There are cards in event A.
  • .
So the final answers are:
  • Sample space:
  • Event A:
  • Probability

Answered by UpStudy AI and reviewed by a Professional Tutor

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Explain
Simplify this solution

Extra Insights

There are 52 cards in the sample space since a standard deck always contains 52 unique cards. For event , there are 4 cards that are 7s (one from each suit). Therefore, the probability , which simplifies to .
Remember, this probability simply tells you the odds of drawing a 7 from the deck. It’s a classic example of the equally likely outcomes found in games of chance! So next time you play a card game, just think—there’s a good chance you might grab that elusive 7!

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