Question

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 ____

Answer 1

25 and 36

Explanation:

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Answer 2

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.