Posted By: CanukDenis
Li'l probability... - 09/28/12 06:27 PM
2 balls are drawn at random from a bag containing
1 green ball, 1 red ball and 2 blue balls.
If a green ball or a red ball is drawn on 1st draw,
then the ball is put back in the bag; but not if blue.
What is the probability of ending up with a pair
containing 1 blue and 1 green ball, or 1 blue and 1 red ball?
Posted By: CanukDenis
Re: Li'l probability... - 10/03/12 01:35 AM
To clarify (in case unclear):
"If a green ball or a red ball is drawn on 1st draw,
then the ball is put back in the bag; but not if blue."
The ball that is put back counts as 1st draw;
like, it doesn't mean "start over"; example:
G is drawn; then put back so we have [G R B B] for 2nd draw;
possible to draw G again, so end up with having drawn 2 G's.
And on this:
"What is the probability of ending up with a pair
containing 1 blue and 1 green ball, or 1 blue and 1 red ball?
Really means: what is probability that the 2 balls
drawn are B and G or B and R (order unimportant)
Posted By: CCbomber
Re: Li'l probability... - 10/03/12 11:17 AM
Not sure about this..
A = the event of drawing red or green, replacing, then blue
B = the event of drawing blue, then red or green
P(A) = (2/4)(2/4) = 1/4
P(B) = (2/4)(2/3) = 1/3
Since A and B are mutually exclusive
P(A or B) = P(A)+P(B) = (1/4)+(1/3) = 7/12