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 thebag has 10 marbles.2 yellow.3 pink.5 blue

Answer

To calculate the probability of drawing two pink marbles when the first one is replaced back in the bag before the second draw, we need to consider the number of ways we can draw two pink marbles and divide it by the total number of possible outcomes.

First, let's determine the probability of drawing a pink marble on the first draw. There are a total of 10 marbles in the bag, and 3 of them are pink. Therefore, the probability of drawing a pink marble on the first draw is 3/10.

Since the first marble is placed back into the bag, the bag remains unchanged for the second draw. Therefore, the probability of drawing a pink marble on the second draw is also 3/10.

To find the probability of both events happening (drawing a pink marble on both draws), we multiply the probabilities together:

(3/10) * (3/10) = 9/100

So, the probability of drawing two pink marbles, with replacement, is 9/100 or 0.09 (9%).