My Math Forum probability formula needed

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 March 31st, 2015, 04:34 PM #1 Newbie   Joined: Mar 2015 From: usa Posts: 2 Thanks: 0 probability formula needed There are 13 marbles numbered 1 thru 13 in a bag. You are given 17 chances to choose number 3 marble replacement allowed. What is the formula? Thanks. Last edited by mathminor; March 31st, 2015 at 05:13 PM.
March 31st, 2015, 10:02 PM   #2
Math Team

Joined: Dec 2006
From: Lexington, MA

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Hello, mathminor!

Quote:
 There are 13 marbles numbered 1 thru 13 in a bag. You are given 17 chances to choose number 3 marble, replacement allowed. $\;$What is the formula?

What is the probability that you do not get a "3" in 17 tries?

$P(\text{no 3 in 17 tries}) \;=\;\left(\frac{12}{13}\right)^{17} \;\approx\;0.2565$

$\text{Therefore: }\:P(\text{at least one 3 in 17 tries}) \;=\;1\,-\,0.2565 \;=\;0.7435$

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