Question

Choose an acre of land in Canada at random. The probability is 0.45 that it is forest and is 0.03 that it is pasture. What is the probability that the chosen acre is not forested?

a. 0.03
b. 0.45
c. 0.55

Answer 1

Answer:

c. 0.55

Step-by-step explanation:

A chosen acre of land is forested and not forested are complimentary event , so let :

F = Chosen land is forested

F = Chosen land is not forested

....and we know  F+F = S

where S is sample space and we know probability ocer whole sample space is 1 , that is P(S)=1 , and we know F and F are independent so

P(F+F) = P(S)

P(F) + P(F)=1

We have given that probability of forest land in randomly chosen an acre land in Canada have probability 0.45 so P(F)=0.45 so ,

0.45 + P(F) = 1

P(F) = 1 - 0.45

P(F) = 0.55

Hence, the probability that the chosen acre is not forested is 0.55