Question
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.
Each suit has 13 cards: Ace,
Let event
Identify the numbers of each of the following. Enter the probability as a fraction:
Provide your answer below:
There are
There are
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:
-
Sample Space: The total number of cards in the sample space is 52.
-
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). -
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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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!