Question

A nickel, a penny, and a dime are placed inside a bag. One coin is randomly picked three times. If the coin is replaced after each draw, what is the probability that a dime is picked exactly twice?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The probability of picking a dime on any one draw is 1/3, since there are 3 total coins in the bag and 1 of them is a dime.

Since the coin is replaced after each draw, the probability of picking a dime on any one draw remains 1/3 for each draw.

To find the probability of picking a dime exactly twice in three draws, we multiply the probability of picking a dime once (1/3) by the probability of not picking a dime once (2/3) by the probability of picking a dime again (1/3):

1/3 * 2/3 * 1/3 = 2/27

Therefore, the probability that a dime is picked exactly twice in three draws is 2/27.