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7. If a card is chosen at random, what is the probability of selecting something other than a club (\%)? A. \( \frac{3}{4} \) R \( \frac{2}{2} \)

Ask by Ball Salazar. in the United States
Jan 27,2025

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The probability of selecting something other than a club is 75%.

Solución

To determine the probability of selecting a card **other than a club** from a standard deck of 52 playing cards, follow these steps: 1. **Total Number of Clubs in a Deck:** - There are 4 suits in a deck: Clubs, Diamonds, Hearts, and Spades. - Each suit has 13 cards. - **Number of Clubs = 13** 2. **Number of Cards That Are Not Clubs:** - Total cards in the deck = 52 - **Non-Club Cards = 52 - 13 = 39** 3. **Calculating the Probability:** \[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{39}{52} \] - Simplifying the fraction: \[ \frac{39}{52} = \frac{3}{4} \text{ or } 75\% \] **Answer:** The probability of selecting something other than a club is \( \frac{3}{4} \) or **75 %**.

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Extra Insights

In a standard deck of 52 playing cards, there are 13 clubs. To find the probability of selecting something other than a club, we first determine how many cards are not clubs. This is 52 - 13 = 39 cards. Therefore, the probability of choosing a card that is not a club is \( \frac{39}{52} \), which simplifies to \( \frac{3}{4} \) or 75%. It's important to remember that understanding basic probabilities can help in many everyday scenarios, like estimating odds in games or making decisions involving risk! For instance, if you're playing a card game and want to assess the likelihood of drawing a favorable card, knowing how to quickly compute these kinds of probabilities can give you an edge against your opponents.

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