Seed are often treated with fungicides to protect them in poor draining, wet environments. A small-scale trial, involving six treated and six untreated seeds, was conducted prior to a large-scale experiment to explore how much fungicide to apply. The seeds were planted in wet soil and the number of emerging plants were counted. If the solution was not effective and five plants actually sprouted, what is the probability that (a) all five plants emerged from treated seeds? (b) four or fewer emerged from treated seeds? (c) at least one emerged from untreated seeds?