Question

a point is randomly chosen in the triangle shown below. which statement is true about the likelihood of the location of the point in the triangle? the point is likely to be in the blue region. the point is likely to be inside the square. the point is unlikely to be inside the triangle. the point is certain to be outside the square.

Explanation:

By visually inspecting the triangle, the blue - colored region (which includes the square and the other blue - shaded areas) occupies a relatively large portion of the triangle compared to the white regions. Also, the square is a part of the blue region. The point is chosen within the triangle, so it has a relatively high chance (is likely) to be in the blue region. The statement "The point is unlikely to be inside the triangle" is wrong as the point is chosen within the triangle. The statement "The point is certain to be outside the square" is wrong as the square is inside the triangle and the point could be inside the square (which is part of the blue region). And just saying it's likely to be inside the square is not as accurate as saying it's likely to be in the blue region since the blue region is larger than just the square.

Answer:

The point is likely to be in the blue region.