SOLUTION: A box is filled with 6 blue cards, 3 brown cards, and 3 red cards. A card is chosen at random from the box. What is the probability that the card is not brown? Write your answer a

Algebra ->  Probability-and-statistics -> SOLUTION: A box is filled with 6 blue cards, 3 brown cards, and 3 red cards. A card is chosen at random from the box. What is the probability that the card is not brown? Write your answer a      Log On


   



Question 832826: A box is filled with 6 blue cards, 3 brown cards, and 3 red cards. A card is chosen at random from the box. What is the probability that the card is not brown?
Write your answer as a fraction in simplest form.

Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
A box is filled with 6 blue cards, 3 brown cards, and 3 red cards. A card is chosen at random from the box. What is the probability that the card is not brown?
There are two ways to do the problem. Take your pick.  But you should know how
to do it both ways, because sometimes it's easier to do it one way and sometimes
it's easier to do it the other way:

Method 1.  P(not a brown card) = P(a blue card OR a red card) = 
P(blue card) + P(red card) = 6%2F12%22%22%2B%22%223%2F12 = 9%2F12 = 3%2F4

Method 2.  P(not a brown card = 1 - P(brown card) = 1 - 3%2F12 = 1 - 1%2F4 = 4%2F4-1%2F4 = 3%2F4

Either way, you get 3%2F4.

Edwin