3/ (6+5+4+3)
= 1/6
1/6**?
6/18
3/20
1/9
= 1/6
The total number of marbles is the sum of the number of green, red, yellow, and purple marbles: 6 + 4 + 5 + 3 = 18.
Therefore, the probability of choosing a purple marble is 3 (number of purple marbles) out of 18 (total number of marbles), which simplifies to 1/6.
The total number of marbles in the bag is given by the sum of the green, red, yellow, and purple marbles:
Total number of marbles = 6 (green) + 4 (red) + 5 (yellow) + 3 (purple) = 18
Now, we can calculate the probability of choosing a purple marble by dividing the number of purple marbles by the total number of marbles:
Probability of choosing a purple marble = Number of purple marbles / Total number of marbles = 3 / 18
Simplifying the fraction, we get:
Probability of choosing a purple marble = 1 / 6
Therefore, the correct answer is 1/6.