Question

A card is drawn from a well shuffled deck of 52 cards. What is the probability of getting a spade? A. 1/8 B. 1/6 C. 1/4 D. 1/10

Answer 1

13/52 or simplified: 1/4

Explanation:

Find the GCD (or HCF) of the numerator and denominator:

The number that divides two or more numbers most precisely by itself is said to be the greatest common divisor (GCD) of those numbers. It is also known as the highest common factor (HCF). For example, since both 15 and 10 can be divided by 5, the highest common factor of these two numbers is 5. 15/5 = 3, 10/5 = 2.

GCD of 13 and 52 is 13

Now, divide both the numerator and denominator by the GCD:

13 ÷ 13

52 ÷ 13

Simplified fraction:

1/4

Therefore, 13/52 simplified to lowest terms is 1/4.