# The well 3

When the health department tested private wells in a county for two impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 40% had impurity A, and 50% had impurity B. (Obviously, some had both impurities. ) If a well is randomly chosen from those in the county, find the probability distribution for Y, the number of impurities found in the well:

p0 = no impurities

p1 = exactly one impurity

p2 = both impurities

p0 = no impurities

p1 = exactly one impurity

p2 = both impurities

## Correct answer:

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