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
- A bowl contains 9 blue balls, 7 white and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being white is:
- If 9 students are standing on a circular path, then the probability that 2 of them are always standing together is:
- A letter of English alphabet is chosen at random. Probability of getting a vowel is:
- Five salesmen, A, B, C, D and E, of a company are considered for a three member trade delegation to represent the company at an international trade conference. What is the probability that A gets selected?
- A dice is thrown twice and the sum of the appearing numbers is 10. Then the probability that the number 5 has appeared at least once is:
- A box contains 2 black, 6 green and 4 yellow balls. If 2 balls are picked up at random, the probability that both are green-coloured is:
- A bag contains cards numbered between 33 and 92. If one card is drawn from the bag, the probability that the number on the drawn card is a perfect square is:
- Kings and Queens of black colour are taken out from a deck of 52 playing cards. A card is drawn from the remaining well-shuffled cards. Probability of getting a spade card is:
- In tossing three coins at a time, the probability of getting at least one heads is:
- If we select 3 persons randomly from a group, consisting of 4 men, 3 women and 2 boys, then the probability that 2 men are selected is:
Important Questions from Probability
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
How many 3 - digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
