a marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles, and 3 green marbles. what is the probability that the selected marble is green?
a. 1/2
b. 3
c. 1/9
d. 1/3
The total number of marbles in the bag is 3 + 3 + 3 = 9.
Since there are 3 green marbles in the bag, the probability of selecting a green marble is 3/9 = 1/3.
Therefore, the correct answer is: d. 1/3.
To find the probability of selecting a green marble, we need to determine the number of favorable outcomes and the number of possible outcomes.
In this case, we have 3 green marbles out of a total of 9 marbles (3 red + 3 blue + 3 green).
The probability of selecting a green marble is then given by:
Number of green marbles / Total number of marbles = 3/9 = 1/3
Therefore, the correct answer is d. 1/3.
To find the probability of selecting a green marble, we need to divide the number of favorable outcomes (i.e., the number of green marbles) by the total number of possible outcomes (i.e., the total number of marbles in the bag).
Step 1: Determine the number of green marbles
In the given problem, the bag contains a total of 3 green marbles.
Step 2: Determine the total number of marbles
The bag contains 3 red marbles, 3 blue marbles, and 3 green marbles, making a total of 9 marbles.
Step 3: Calculate the probability
Now we can calculate the probability of selecting a green marble by dividing the number of green marbles by the total number of marbles:
Probability = Number of green marbles / Total number of marbles = 3/9 = 1/3
Therefore, the correct answer is (d) 1/3.