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

a. 5/33
b. 25/144
c. 25/132
d. 2/5
e. 5/7

Question

Find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, five yellow, and four red marbles such that both marbles are yellow.

a. 5/33
b. 25/144
c. 25/132
d. 2/5
e. 5/7

anonymous · Answer

probability = good choices / total choices

anonymous · Answer

3G 5Y 4R

probability of drawing yellow first time = 5/12
probability of drawing yellow again = 4/11

total probability = 5/12 . 4/ 11  = 5/33

whpalmer4 · Answer

First marble has P=5/12 of being yellow.  2nd marble has P=4/11 of being yellow if first was yellow w/o replacement.  Multiply the probabilities...