A box contains three red marbles and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?
show your work
(1 point)
Responses
19
1
9
1 ninth
112
1
12
1 over 12
512
5
12
5 over 12
49
To calculate the probability of selecting two blue marbles without replacement, we need to consider the total number of ways to select 2 marbles out of the 9 marbles in the box. This can be calculated using combinations.
Total ways to select 2 marbles = 9C2 = 36
Ways to select 2 blue marbles = 6C2 = 15
Therefore, the probability of selecting 2 blue marbles = Ways to select 2 blue marbles / Total ways to select 2 marbles
= 15 / 36 = 5/12
So, the probability of selecting two blue marbles at random, without replacement, is 5/12.