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 2.5 . 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

Given  : 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 25 .

 one square-shaped button is added to the container.   Lucas repeats the same picking process,

To Find : the sample size  

Solution:

Lucas has five buttons in a container.

Each button is a different shape.

Lucas picks up button 5 times as there are 5 buttons

He replaces the button every time hence each time he can pick in 5 ways

so Sample Size = 5 * 5  = 25

one square-shaped button is added to the container

Hence  6 buttons in a container.

Each button is a different shape.

He replaces the button every time hence each time he can pick in 6 ways

so Sample Size = 6 * 6  = 36

sample size would be 36

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