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

1 answer

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.