SOLUTION: Shari has twelve cards, numbered from one to twelve. She randomly draws three cards with replacement. What is the probability that Shari draws an even card and then two odds.

Question 611372: Shari has twelve cards, numbered from one to twelve. She randomly draws three cards with replacement. What is the probability that Shari draws an even card and then two odds.
a. 3/8
b. 1/16
c. 1/4
d. 1/8
I think the answer is 3/8. Is that correct?
d
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Three independent events since you are replacing the drawn card every time. There is a 1/2 probability of getting what you want (odd or even) on any given draw. So: . Don't know where you got the 3 in the numerator.

John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Shari has twelve cards, numbered from one to twelve. She randomly draws three cards with replacement. What is the probability that Shari draws an even card and then two odds.
---
# of even cards: 6
# of odd cards: 6
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P(even AND odd AND odd) = (6/12)(6/12)(5/12) = 180/1728 = 5/48
======
Cheers,
Stan H.
===================

a. 3/8
b. 1/16
c. 1/4
d. 1/8

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