In: Math
Plant Selection All holly plants are dioecious—a male plant must be planted within 30 to 40 feet of the female plants in order to yield berries. A home improvement store has 12 unmarked holly plants for sale, 8 of which are female. If a homeowner buys 3 plants at random, what is the probability that berries will be produced?
Combination formula:
The number of possible combinations of r objects from the set of n objects can be written as in the following ways.
Formula:
Given,
A home improvement store has 12 unmarked holly plants for sale, 8 of which are female. So, the remaining 4 are male.
Three plants are selected at random, there are,
If the berries will be produced, these 3 plants consists of,
1 Male and 2 Female or
2 Male and 1 Female
Find the probability that berries will be produced.
That is,