Question

What is the probability of drawing a king card from deck of cards?

(a) \(\frac{1}{2}\)

(b) \(\frac{1}{13}\)

(c) \(\frac{1}{4}\)

(d) \(\frac{1}{26}\)

I got this question in an international level competition.

The origin of the question is Data Handling topic in division Data Handling of Mathematics – Class 8

Answer 1

The correct answer is (b) \(\frac{1}{13}\)

Best explanation: Deck of cards contains 52 cards. There are 13 cards of hearts, spades, clubs and diamonds. The 13 cards are A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K. King card can belong to heart, spade, club or diamond. Hence, 4 outcomes are possible when drawing a king card from deck of cards. Probability of picking a king from deck of cards is \(\frac{1}{13}\).