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

contains 5 buttons...
picks one, then replaces. then picks another

since he puts the button back, the sample size remains the same as when he picked the 1st one....and that sample size is 5

if 1 button is added, and he uses the same process and replaces the button he picked, then the sample size will be 6....because 1 button was added making a total of 6 buttons.

Answer 2

Answer:

25,35

Step-by-step explanation:

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.