Question

A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single card is picked at random, what is the probability that the card is not green? Provide the final answer as a fraction?

Answer 1

`(9)/(11)`

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We have:

3 red cards

6 blue cards

2 green cards.

What is the probability that the card is not green?

3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So

`(9)/(11)` probability that the card is not green