Question

A box is filled with 12 red cards 2 blue cards and 4 green cards a card is chosen at random from the box what is the probability that the card is not blue write your answer as a fraction in simplest form

Answer 1

There are 12+2+4=18 cards in total. The probability to get a not-blue card is

`\begin{gathered} P(\text{not blue) = 1 - P(blue)} \\ P(\text{not blue) =}1-(2)/(18) \end{gathered}`

which gives

`\begin{gathered} P(\text{not blue})=1-(1)/(9) \\ P(\text{not blue})=(9)/(9)-(1)/(9) \\ P(\text{not blue})=(9-1)/(9) \\ P(\text{not blue})=(8)/(9) \end{gathered}`

then, the probability that the card is not blue is 8/9.