Question

Omar ordered his sister a birthday card from a company that randomly selects a card from their inventory. The company has 21 total cards in inventory. 14 of those cards are birthday cards. What is P(not a birthday card)

Answer 1

Answer:
`(1)/(3)` or 33.33%

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 :-

`\text{P(not a birthday card)}=\frac{\text{not a birthday cards}}{\text{total cards}}\\\\\Rightarrow\ \text{P(not a birthday card)}=(7)/(21)\\\\\Rightarrow\ \text{P(not a birthday card)}=(1)/(3)`

In percent,
`\text{P(not a birthday card)}=(1)/(3)*100=33.33\%`