Question

Fiona and her friends are playing a game by guessing where a coin will land when it is randomly dropped inside the square shown below.

A square with a triangle and circle inside. The circle and triangle are shaded blue, and a larger part inside of the square is not shaded.

Fiona guesses that the coin is likely to land in the blue area. Which explains whether or not Fiona is correct and why?
Fiona is correct because there are blue areas in the square.
Fiona is correct because more than half of the square is blue.
Fiona is not correct because the coin will definitely land in the white area.
Fiona is not correct because a larger part of the square is white.

Answer 1

Answer: Fiona is not correct because a larger part of the square is white.

Reason: “Likely” means more than a 50% chance. Although there are blue regions, the total unshaded (white) area is bigger than the shaded area, so the probability the coin lands in white is greater than 1/2. Hence Fiona’s guess is not correct.