Question

What is the probability of drawing a card of value greater than 5 and lesser than 9 from deck of cards?

(a) \(\frac{1}{52}\)

(b) \(\frac{12}{52}\)

(c) \(\frac{13}{52}\)

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

I have been asked this question in semester exam.

My question is taken from Data Handling in division Data Handling of Mathematics – Class 8

Answer 1

The correct choice is (b) \(\frac{12}{52}\)

To explain: 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. Card greater in value than 5 and lesser than 9 are 6, 7 and 8 and can belong to heart, spade, club or diamond. Hence, 12 outcomes are possible when drawing a card from deck of cards. Probability of picking a card greater in value than 5 and lesser than 9 from deck of cards is \(\frac{12}{52}\).