Plant Selection All holly plants are dioecious—a male plant must be planted within 30 to 40...

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?

Solutions

Expert Solution

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,

milcah answered 1 year ago

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