# Sheldon uses the even numbered cubes below to play a game. 2 , 4 , 6 , 8 and 10. ? Rest of problem is in Details!

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Sheldon uses the even numbered cubes below to play a game.

Part A : Sheldon randomly selects a cube 100 times and replaces it. Is it reasonable to expect Sheldon to choose a number that is less than 6 about 50 times? Show work!

Part B : Sheldon uses the same process to select a cube 250 times. How many times should he expect to choose the cubes labeled 6, 8, or 10? Justify your reasoning.

Sheldon uses the even numbered cubes below to play a game.

Part A : Sheldon randomly selects a cube 100 times and replaces it. Is it reasonable to expect Sheldon to choose a number that is less than 6 about 50 times? Show work!

Part B : Sheldon uses the same process to select a cube 250 times. How many times should he expect to choose the cubes labeled 6, 8, or 10? Justify your reasoning.

##### 1 Answer

A: Yes it's reasonable

B:

#### Explanation:

Let **less** than

so

so the probability that

so if He selects a cube 100 times then he will get 40 cubes with the number

but since the question is asking if it's reasonable if He got 50 cubes?

I would say **Yes it's reasonable since 50 cubes is near 40**

Let

In order to calculate how many times he got a cube labeled

I will put this on double check to make sure