Answer: To find the probability of drawing 2 nickels with replacement from the box, we need to first calculate the total number of possible outcomes. Since we are replacing the coins after each draw, the total number of possible outcomes is simply the product of the number of coins for each type:
Total possible outcomes = (6 + 9 + 3) = 18
To find the number of ways to draw 2 nickels, we can use the combination formula:
Number of ways to draw 2 nickels = C(9,2) = 36
Where C(n,r) represents the number of ways to choose r items from a set of n items without replacement.
Therefore, the probability of drawing 2 nickels with replacement is:
P(2 nickels) = number of ways to draw 2 nickels / total possible outcomes
= 36 / 18 x 18
= 1/2
So the probability of drawing 2 nickels with replacement is 1/2.
Explanation: