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Ken has a six sided die. He rolls the die, and if the result is not even, he rolls the die one more time. Find the probability that he ends up with an even number.

 Jun 15, 2020
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Let's use casework!

 

There is a 1/2 chance of getting even first. 

 

There is a 1/2 chance of getting odd.

 

Of that, there is a 1/2 chance of getting even.

 

Thus there is a 1/4 chance of getting even if you get odd first.

 

SO basically.

 

1/2+ 1/4 = 3/4

 

So you have a 75% chance of getting an even number.

 Jun 15, 2020

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