You have a bag of marbles containing 13 red marbles, 8 green marbles, 7 yellow marbles, and 7 blue marbles. What is the probability of drawing a green marble, putting the marble in your pocket and then drawing a yellow marble?
These are both dependent events.
8/35 * 7/34 = ?
To find the probability of drawing a green marble and then drawing a yellow marble, you need to calculate the individual probabilities and multiply them together.
Step 1: Find the probability of drawing a green marble.
There are a total of 13 + 8 + 7 + 7 = 35 marbles in the bag.
The number of green marbles is 8.
So, the probability of drawing a green marble is 8/35.
Step 2: Once you draw a green marble and put it in your pocket, there are 35 - 1 = 34 marbles left in the bag. The number of yellow marbles is 7.
So, the probability of drawing a yellow marble, given that you have already drawn a green marble, is 7/34.
Step 3: Calculate the overall probability.
The probability of drawing a green marble and then a yellow marble is the product of the probabilities from step 1 and step 2:
(8/35) * (7/34) ≈ 0.0408
Therefore, the probability of drawing a green marble, putting it in your pocket, and then drawing a yellow marble is approximately 0.0408 or 4.08%.