Alandscaper is selecting two trees to plant. he has five to choose from. three of the five are deciduous and two are evergreen. what is the probability that he chooses trees of two different types? express your answer as a percent. 30% 40% 50% 60%

Last Option

Step-by-step explanation:

In total there are 5 trees

Three of the five are deciduous (D), two are evergreen (E)

To select two different types of trees, you must section:

1 deciduous and 1 evergreen

Then we use the combination formula:

Where n is the number of elements in the group and you choose r from the.

The number of ways to select 1 deciduous from 3 is: 3C1

The number of ways to select 1 evergreen from 2 is: 2C1

The number of ways to select 1 deciduous and 1 evergreen from is:

Finally the number of ways to select two tree from 5 trees is: 5C2

Finally he probability that he chooses trees of two different types is:

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)