Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting. There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them, n = 5 x 5 = 25 Therefore, the sample size for the compound event is equal to 25. Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from. n = 6 x 6 = 36 Hence, the sample size of this picking process is 36.
Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button. The sample size for this compound event is ___ Suppose one square-shaped button is added to the container. If Lucas repeats the same picking process, then the sample size would be ____