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Counting and Basic Probability · Question 54 of 65

Question 54

EasyOriginal question

A standard deck has 52 cards in 4 suits of 13 (ace, 2 to 10, jack, queen, king); hearts and diamonds are red, clubs and spades are black, and the jack, queen and king are the face cards. One card is drawn at random. What is the probability that it is a face card or an ace?

Options for question 54

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Face cards: 3 in each suit, so 12. Aces: 4. No card is both.

  2. Favourable =12+4=16= 12 + 4 = 16, so probability =1652=413= \frac{16}{52} = \frac{4}{13}.

Worth noting

313\frac{3}{13} counts only the face cards and 113\frac{1}{13} only the aces. 14\frac{1}{4} is the chance of any one suit.

Concept
Adding the counts of non-overlapping card types
Typical time
40 s
Your time
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The rule this testsCoins, dice and cards
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