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The probability of drawing a red card from a deck of playing cards is ?Question 5Answera.1/4b.1/13c.1/2d.2/18

Question

The probability of drawing a red card from a deck of playing cards is ?

Question 5
Answer

  • a. 1/4
  • b. 1/13
  • c. 1/2
  • d. 2/18
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Solution

Break Down the Problem

  1. Identify the total number of cards in a standard deck.
  2. Determine the number of red cards in the deck.
  3. Calculate the probability of drawing a red card.

Relevant Concepts

  • A standard deck of playing cards contains 52 cards.
  • There are 26 red cards (13 hearts and 13 diamonds) in the deck.

Analysis and Detail

  1. Total Cards: A standard deck has 52 52 cards.
  2. Red Cards: There are 26 26 red cards.
  3. Probability Formula: P(Red Card)=Number of Red CardsTotal Number of Cards=2652 P(\text{Red Card}) = \frac{\text{Number of Red Cards}}{\text{Total Number of Cards}} = \frac{26}{52} Simplifying the fraction: 2652=12 \frac{26}{52} = \frac{1}{2}

Verify and Summarize

After evaluating the calculation, it is confirmed that the probability of drawing a red card from a deck is indeed 12 \frac{1}{2} .

Final Answer

The probability of drawing a red card from a deck of playing cards is 12 \frac{1}{2} . Thus, the correct answer is c. 12 \frac{1}{2} .

This problem has been solved

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