Question

What is the probability of drawing either a king, a queen, or a jack from a deck of 52 playing cards?A.3/13B.1/13C.1/52D.4/18

Answer 1

Let:

A = Draw a king

B = Draw a queen

C = Draw a Jack

a = Number of kings

b = Number of queens

c = Number of jacks

N = Total number of cards

Since the events are mutually exclusive:

`\begin{gathered} P(A\cup B\cup C)=(a)/(N)+(b)/(N)+(c)/(N) \\ where \\ a=4 \\ b=4 \\ c=4 \\ N=52 \\ so\colon \\ P(A\cup B\cup C)=(4)/(52)+(4)/(52)+(4)/(52)=(12)/(52)=(3)/(13) \end{gathered}`

Answer:

A. 3/13