1. P(r)*P(g|r)*P(b|g,r)+P(r)*P(b|r)*P(g|b,r)+
P(g)*P(r|g)*P(b|g,r)+P(g)*P(b|g)*P(r|b,g)+
P(b)*P(r|b)*P(g|b,r)+P(b)*P(g|b)*P(r|g,b)
2. P(g)*P(g|g)
With replacement: P(x|y) = P(x)
Without replacement: More work.
Well, I'm lazy but here it goes with the numbers:
(with replacement)
1. (10/19) * (6/19) * (3/19) * 6 = 15.74%
2. (6/19) * (6/19) = 9.97%
(without replacement)
1. (10/19) * (6/18) * (3/17) + (10/19) * (3/18) * (6/17) +
(6/19) * (10/18) * (3/17) + (6/19) * (3/18) * (10/17) +
(3/19) * (10/18) * (6/17) + (3/19) * (6/18) * (3/17) = 16.41%
2. (6/19) * (5/18) = 8.77%
Psionic Roshambo
Xdqwerty
BigOnYa
K3Nv2
