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Counting and Basic Probability · Question 56 of 65

Question 56

MediumOriginal 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. A card is drawn at random. What is the probability that it is red or a king (or both)?

Options for question 56

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Red cards: 26. Kings: 4, of which 2 are red and already counted.

  2. Favourable =26+4−2=28= 26 + 4 - 2 = 28.

  3. Probability =2852=713= \frac{28}{52} = \frac{7}{13}.

Worth noting

1526=3052\frac{15}{26} = \frac{30}{52} counts the king of hearts and king of diamonds twice. 12\frac{1}{2} counts only the red cards.

Concept
Addition rule for overlapping card events
Typical time
70 s
Your time
—
The rule this testsCoins, dice and cards
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