Question

a bag contains four red marbles, six green marbles, eight yellow marbles, and two blue marbles. find the probability of drawing a red marble, not replacing it, then drawing a green marble. simplify your answer.

Answer 1

Red marbles = 4
Green marbles = 6
Yellow marbles = 8
Blue marbles = 2

Total marbles = 20

Pr (drawing a red marble and green marble without replacement)=Pr(RG + GR)

[Pr(a red marble) x Pr(green marble)] + [Pr(a green marble) x Pr(red marble)]
(4/20 x 6/19)+(6/20 x 4/20)
=6/95 + 6/95
=12/95
Pr(drawing a red marble and green marble without replacement)=12/95

Note:when drawing without replacement the total gets reduced as more is taken.