A standard deck has 52 cards. What is the probability of drawing a face card (Jack, Queen or King)?
Answer
3/13
The correct answer is 3/13 — Simplify 12/52 to 3/13.
Step-by-step solution
- Total cards in a deck = 52.
- Number of face cards = 12 (4 Jacks, 4 Queens, 4 Kings).
- Probability = number of favourable outcomes / total outcomes = 12/52.
- Simplify 12/52 to 3/13.
Common mistake: Not counting all face cards correctly.
Concept tested: Probability of a single event.
Published · How this solution was prepared and checked
Related questions
- 1 A bag contains 4 red, 5 blue and 6 green balls. Three balls are drawn without replacement. What is the probability that exactly two of them are red and one is green?
- 2 Two standard dice are rolled. What is the probability that the sum of the two numbers is at least 8?
- 3 The continuous random variable Y has probability density function f(y)=k,y for 0le yle2 and f(y)=0 elsewhere. Find the value of k and the expected value E[Y].
- 4 A bakery makes cakes and pastries. The profit is ₹40 per cake and ₹30 per pastry. The resources are 2 hours of baking, 4 hours of packaging and 10 units of flour. Each cake needs 0.5 h baking, 0.2 h packaging, 3 units flour. Each pastry needs 0.3 h baking, 0.4 h packaging, 2 units flour. Using the graphical method, what is the maximum profit and how many cakes and pastries should be produced?
- 5 Which of the following is the equation of the plane that passes through the point (1,2,3) and has normal vector ⟨ 4,-1,2⟩?
- 6 Find all real values of k for which the system x+y+z=2, 2x+3y+kz=5, 3x+4y+(k+1)z=7 has infinitely many solutions.