A nickel a penny and a dime are placed inside a bag one coin is randomly picked three times if the coin is replaced each time what is the probability that the dime is picked exactly right

The probability of picking the dime on the first pick is 1/3, since there are 3 coins in the bag and one is a dime.

Since the coin is replaced after each pick, the probability of picking the dime on the second pick is also 1/3 and on the third pick as well.

Therefore, the probability of picking the dime exactly once in three picks is:

1/3 * 1/3 * 1/3 = 1/27

So the probability of picking the dime exactly once in three picks is 1/27.