Question

Determine the sample space for an experiment of a coin is selected from a bag three times there are three coins in the bag a nickel a quarter and a dime each other coin is selected it is replaced before selecting the next coin

Answer 1

[AI-generated answer — Bot GPT 3.5]

The sample space for this experiment consists of all possible outcomes of selecting a coin from the bag three times. Since each coin is replaced before the next selection, the outcomes are independent.

The possible outcomes for each selection are:
1. Nickel
2. Quarter
3. Dime

Therefore, the sample space for this experiment is:
{NNN, NNQ, NND, NQN, NQQ, NQD, NDN, NDQ, NDD, QNN, QNQ, QND, QQN, QQQ, QQD, QDN, QDQ, QDD, DNN, DNQ, DND, DQN, DQQ, DQD, DDN, DDQ, DDD}

where N represents nickel, Q represents quarter, and D represents dime.