There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble and then a green marble?
10%
To find the theoretical probability of drawing a red marble and then a green marble, we need to consider the total number of marbles and the number of desired outcomes.
First, let's find the probability of drawing a red marble. There are a total of 5 red marbles out of 25 marbles in the bag, so the probability of drawing a red marble is 5/25 or 1/5.
Next, let's find the probability of drawing a green marble, given that we have already drawn a red marble. After drawing the red marble, there are now 4 red marbles left out of 24 marbles in the bag. Therefore, the probability of drawing a green marble is 12/24 or 1/2.
To find the probability of both events occurring, we multiply the probabilities together: (1/5) * (1/2) = 1/10.
So, the theoretical probability of randomly drawing a red marble and then a green marble is 1/10 or 10%.