This is the second-choice question. please pick one of the two choice questions to do. Please indicate which you plan on doing and if you uploaded your solutions in the written section.

You are digging for gold in an old river bed that you have sectioned off into a 10 by 10 grid. You calculate that any one section has a .4 probability of having gold. This does not change between dig sites. Please answer the questions below.

1) What is the probability of not finding gold in any one plot?

2) Suppose we dig in 4 plots, what is the probability that all of them do not contain any gold?

3) What is the probability that at least one plot contains gold?