a bag of marbles contains 5 green marbles,4 red marbles, and six yellow marbles. What is the probability of drawing 2 yelo0w marbles with replacement

assuming you are drawing only two marbles

prob(yellow, then yellow after replacement)
= (6/15)(6/15) = 4/25

To find the probability of drawing two yellow marbles with replacement, we need to follow these steps:

Step 1: Determine the total number of marbles in the bag.
In this case, there are 5 green marbles + 4 red marbles + 6 yellow marbles = 15 marbles in total.

Step 2: Determine the probability of drawing a yellow marble.
Since there are 6 yellow marbles out of a total of 15 marbles, the probability of drawing a yellow marble is 6/15.

Step 3: Determine the probability of drawing two yellow marbles with replacement.
When drawing with replacement, it means that after each draw, the marble is put back into the bag before drawing again. This means that the probability remains the same for each draw.

To find the probability of both events happening (drawing a yellow marble with replacement and then drawing another yellow marble with replacement), we can multiply the probabilities together:

Probability of drawing one yellow marble = 6/15
Probability of drawing a second yellow marble = 6/15 (since we replace the marble)
Probability of drawing two yellow marbles = (6/15) * (6/15) = 36/225 = 4/25.

Therefore, the probability of drawing two yellow marbles with replacement is 4/25.