Answer:
0.0455
Explanation:
The formula for calculator probability is
# of favorable outcomes / # of possible outcomes
The total number of marbles in the bag:
7+3+2=12
Probability of the first marble being blue:
3/12
Probability of the second marble being blue:
2/11 -- 2 because only 2 blue marbles left after drawing the first one out, 11 because after taking the first marble out, we have 11 marbles left in the bag
Formula for both events happening:
p(A and B) = p(A) * p(B)
In this problem,
A = first one blue
B = second one blue
Probability that if two marbles are drawn out of the bag, both are blue:
3/12 x 2/11 = 0.045454
Rounded answer:
0.0455 (or 4.55%)