Question

You have a standard deck of 52 playing cards and draw out a single card at random. What is the chance of picking out a nine? Write your answer as a fraction in its lowest terms.

Answer 1

There are 9 number cards from 2 to 10 in a deck of cards.

(2-10) has one 9

(2-10) has one 9

(2-10) has one 9

(2-10) has one 9

There are 4 nines in a deck of 52 cards. We know that 4 x 9 = 36.

The chance or probability of taking out a 9 is (36/52).

Reducing this fraction to the lowest terms we get 9/13.