Math Problem Statement
Solution
The problem asks to find the probability of drawing either a club or a heart from a standard deck of 52 cards.
Step-by-Step Solution:
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A standard deck of cards contains:
- 4 suits: Clubs, Diamonds, Hearts, Spades.
- 13 cards per suit.
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To find , we need the number of favorable outcomes (either a club or a heart) and divide it by the total number of cards.
- There are 13 clubs.
- There are 13 hearts.
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Since there is no overlap (a card cannot be both a club and a heart), the total number of favorable outcomes is:
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The probability is:
Thus, the probability is 0.500.
Would you like to go into more detail, or do you have any questions?
Here are 5 related questions to explore:
- What is the probability of drawing a spade or a diamond?
- What is the probability of drawing a face card (Jack, Queen, or King)?
- What is the probability of drawing an ace from the deck?
- How does the probability change if we exclude jokers from a 54-card deck?
- What is the probability of drawing a red card (hearts or diamonds)?
Tip: When calculating probabilities for "or" events, ensure you account for any overlap between events, if applicable.
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Math Problem Analysis
Mathematical Concepts
Probability
Card Combinatorics
Formulas
P(event) = (Number of favorable outcomes) / (Total number of possible outcomes)
P(club or heart) = P(club) + P(heart) - P(club and heart)
Theorems
Addition Rule for Probability
Suitable Grade Level
Grades 7-10
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