Be sure you are writing out your steps. You will have to submit your shown work for each problem at the end
A box contains three red marbles and six blue marbles. What is the probability of selecting at random, without replacement, two blue marbles?
Responses
1/9
1/12
5/12
4/9
First, calculate the total number of marbles in the box: 3 red + 6 blue = 9 marbles total
Next, calculate the probability of selecting the first blue marble: 6 blue / 9 total = 2/3
Since we are selecting without replacement, there will now be 8 marbles left in the box, with 5 of them being blue.
Calculate the probability of selecting the second blue marble: 5 blue / 8 total = 5/8
To find the overall probability of selecting two blue marbles, multiply the probabilities together: (2/3) * (5/8) = 10/24 = 5/12
Therefore, the probability of selecting at random, without replacement, two blue marbles is 5/12.