Answer:
333/364 or 0.915
Step-by-step explanation:
Red marbles = 5
Blue marble = 3
Green marble = 6
Total number of marbles in the bag = 5 + 3 6 = 14
1. The first draw, we have 5 red marbles out of 14 marbles = 5 / 14
Now we have 13 marbles left of which 4 are red.
2. Second draw, we have 4 red marbles and a total of 13 marbles = 4 / 13
3. Third draw, we have 12 marbles left and 3 are red. = 3 / 12 = 1 / 4
Probability of drawing all the red marbles = (5 / 14) * (4 / 13) * (1 / 4) = 333 / 364 = 0.9148