Question

Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, four yellow, and five red marbles such that the marbles are different colors.

Answer 1

I got 38/121, but that isn't a choice on my multiple choice question.

The answer has to be 47/132, 47/30, 47/66, 1/6, or 2/3

Answer 2

and it can't be 47/30, because it has to be 0<x<1

Answer 3

3 colors

g g
g y
g r

y y
y g
y r

r r
r y
r g

9 ways to draw out 2 marbles
6 ways in which they are different collors

6/9 = 2/3, if i see it right

Answer 4

your guess is better than mine

Answer 5

but you might have to prob up the picks and some fancier stuff :)

Answer 6

yeah, i have no idea

Answer 7

it was 47/66 as the answer

Answer 8

3g, 4y, 5r ; 12 total

g g 3*2 / 132
g y 3*4 / 132
g r 3*5 / 132

y y 4*3 / 132
y g 4*3/ 132
y r 4*5/ 132

r r 5*5/132
r y 5*4/132
r g 5*3/132

P(g,y or gr or ...)

12 +15 +12 +20 +20 +15 = 24 +30+40 = 24+70 = 94

94/132 = 47/66 is possible as well