these marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two pink marbles if the first one is placed back in the bag before the second draw the bag has 10 marbles.2 yellow.3 pink.5 blue

To find the probability of drawing two pink marbles, we need to calculate the probability of drawing a pink marble on the first draw, and then multiply it by the probability of drawing another pink marble on the second draw.

Here's how we can find the answer step-by-step:

Step 1: Calculate the probability of drawing a pink marble on the first draw.
Since there are 3 pink marbles out of a total of 10 marbles in the bag, the probability of drawing a pink marble on the first draw is: 3/10.

Step 2: Calculate the probability of drawing another pink marble on the second draw.
After the first marble is placed back into the bag, we still have 3 pink marbles out of 10 marbles. So the probability of drawing another pink marble on the second draw is also: 3/10.

Step 3: Multiply the probabilities.
To find the probability of both events happening (drawing two pink marbles), we multiply the probabilities calculated in step 1 and step 2:
(3/10) * (3/10) = 9/100.

Therefore, the probability of drawing two pink marbles, with the first one placed back in the bag before the second draw, is 9/100, or 0.09, or 9%.