There are 5 red marbles, 8blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble?
5/25 = 1/5
To find the theoretical probability of randomly drawing a red marble, we need to determine the number of favorable outcomes (drawing a red marble) and the total number of possible outcomes (drawing any marble).
In this case, there are 5 red marbles, 8 blue marbles, and 12 green marbles in the bag. So, the total number of possible outcomes is 5 (red) + 8 (blue) + 12 (green) = 25.
Since we only want to find the probability of drawing a red marble, the number of favorable outcomes is simply the number of red marbles, which is 5.
The theoretical probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes:
Theoretical probability of drawing a red marble = Number of favorable outcomes / Total number of possible outcomes = 5 / 25 = 1/5 or 0.2.
So, the theoretical probability of randomly drawing a red marble is 1/5 or 0.2.