To find the probability of drawing a face card, we need to determine the number of face cards and the total number of cards in a standard deck.
Understanding Playing Cards
- A standard deck has 52 cards.
- Face cards are Jacks (J), Queens (Q), and Kings (K).
- Each rank (J, Q, K) appears in each of the 4 suits (Hearts, Diamonds, Clubs, Spades).
Calculating Favorable Outcomes
- Number of face card ranks = 3 (Jack, Queen, King).
- Number of suits = 4.
- Total number of face cards = Number of ranks × Number of suits = $3 \times 4 = 12$.
Calculating Probability
The formula for probability is:
$Probability = (Number of Favorable Outcomes) / (Total Number of Outcomes)$
- Number of Favorable Outcomes (drawing a face card) = 12.
- Total Number of Outcomes (drawing any card) = 52.
- Probability of drawing a face card = $\frac{12}{52}$.
Simplifying the Probability
The fraction $\frac{12}{52}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4.
- $12 \div 4 = 3$
- $52 \div 4 = 13$
- Simplified Probability = $\frac{3}{13}$.
Therefore, the probability of getting a face card is $\frac{3}{13}$.
Similar Questions
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Important Questions from Probability
Two dice are thrown simultaneously. What is the probability of getting the same number on both the dice?
The probability of being 53 Sundays in year 2020 is-
Three dice are thrown randomly. The probability of coming 3 in at least one die is
The probability of having 53 Tuesdays in an ordinary year is:
When two dice are tossed simultaneously, the probability that the sum of the numbers appearing on both the dice is 8 will be
