Abalanced die is rolled twice. are the two event " the sum if the two rolls is 8 and " the first roll comes up 3" independent?

The sum is not independent, (because the sum depends on the 2nd roll) where as te second one is

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c