MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Harvard-MIT Mathematics Tournament
2000 Harvard-MIT Mathematics Tournament
43
43
Part of
2000 Harvard-MIT Mathematics Tournament
Problems
(1)
2000 Guts #43: Picking marbles from a box
Source:
10/25/2014
Box A contains
3
3
3
black and
4
4
4
blue marbles. Box B has
7
7
7
black and
1
1
1
blue, whereas Box C has
2
2
2
black,
3
3
3
blue and
1
1
1
green marble. I close my eyes and pick two marbles from
2
2
2
different boxes. If it turns out that I get
1
1
1
black and
1
1
1
blue marble, what is the probability that the black marble is from box A and the blue one is from C?
probability