SOLUTION: An urn contains 5 green, 3 red and 2 yellow balls. Two balls are drawn at random from this urn without replacement. Find the probability that, (a) Both are green (b) One is re

Algebra ->  Probability-and-statistics -> SOLUTION: An urn contains 5 green, 3 red and 2 yellow balls. Two balls are drawn at random from this urn without replacement. Find the probability that, (a) Both are green (b) One is re      Log On


   

Question 887969: An urn contains 5 green, 3 red and 2 yellow balls. Two balls are drawn at random from this urn without replacement. Find the probability that,
(a) Both are green
(b) One is red and one is yellow
(c) Both are of the same color
(d) Both are of the different color
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the possible outcomes.
GG GB GY
BG BB BY
YG YB YY
a) P%28GG%29=1%2F9
b) P%28RY%29=1%2F9%2B1%2F9=2%2F9 Red Yellow or Yellow Red
c) P=P%28GG%29%2BP%28BB%29%2BP%28YY%29=3%2F9=1%2F3
d) P(same)+P(not same)=1
P=1-1%2F3=2%2F3