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? (1 point) Responses 49 4 ninths 112 1 over 12 512 5 over 12 19
To find the probability of selecting two blue marbles without replacement, we first need to find the total number of marbles and the total number of ways to select two blue marbles.
Total number of marbles = 3 red marbles + 6 blue marbles = 9 marbles
Total number of ways to select 2 blue marbles = 6 blue marbles choose 2 = C(6, 2) = 6! / (2! * 4!) = 15 ways
Therefore, the probability of selecting two blue marbles without replacement is:
Probability = Number of ways to select 2 blue marbles / Total number of marbles
Probability = 15 / 9 = 5/3 = 5 over 12
So, the probability of selecting at random, without replacement, two blue marbles is 5 over 12.