SOLUTION: A box is filled with 8 yellow cards, 2 green cards, and 2 red cards. A card is chosen at random from the box. What is the probability that it is a yellow or a red card?

Algebra ->  Probability-and-statistics -> SOLUTION: A box is filled with 8 yellow cards, 2 green cards, and 2 red cards. A card is chosen at random from the box. What is the probability that it is a yellow or a red card?      Log On


   

Question 1068006: A box is filled with
8
yellow cards,
2
green cards, and
2
red cards. A card is chosen at random from the box. What is the probability that it is a yellow or a red card?
Write your answer as a fraction in simplest form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P%28Y%29=8%2F%288%2B2%2B2%29=8%2F12=2%2F3
P%28R%29=2%2F12=1%2F6
So,
P=P%28Y%29%2BP%28R%29
P=2%2F3%2B1%2F6
P=4%2F6%2B1%2F6
P=5%2F6
.
.
.
We could have also solved it backwards by finding the probability that the card is green and then finding the complement (red or yellow).
P%28G%29=2%2F12=1%2F6
So,
P=1-1%2F6
P=5%2F6