Answer: [tex]\frac{1}{3}[/tex] or 33.33%
Step-by-step explanation:
Given: The total number of cards in inventory = 21
The number of birthday cards = 14
Then the number of cards which are not a birthday card = 21-14=7
If company that randomly selects a card from their inventory, then the probability of getting a card which is not a birthday card will be :-
[tex]\text{P(not a birthday card)}=\frac{\text{not a birthday cards}}{\text{total cards}}\\\\\Rightarrow\ \text{P(not a birthday card)}=\frac{7}{21}\\\\\Rightarrow\ \text{P(not a birthday card)}=\frac{1}{3}[/tex]
In percent, [tex]\text{P(not a birthday card)}=\frac{1}{3}\times100=33.33\%[/tex]