Explanation
Correct answer: B.
Choice B is correct. If a house from the street is selected at random, the probability of selecting a house that is blue is equal to the number of houses on the street that are blue divided by the total number of houses on the street. Since there are blue houses on a street with total houses, the probability of selecting a house that is blue from this street is .
Desmos solution:
Note: The expression 2/7 directly computes the probability of selecting a blue house.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the probability of selecting a house that is blue from a street on which of the houses is blue.
Choice C
Choice C is incorrect. This is the probability of selecting a house that is not blue from this street.
Choice D
Choice D is incorrect. This is the probability of selecting a house that is blue from a street on which all the houses are blue.