Homework Statement
Explain the formulas used to obtain the solution for the question above (What is the probability of two tetrahedral dice landing on a 6 if twelve dice are rolled?)
1 - (3/4)^12 - 12 * ((3/4)^11) * (1/4) = 0.842
Homework Equations
If we were looking for one dice landing on 6...
I was referring to the part highlighted in red which is the simplified form after you solve the integral for x=t and x=1. I was wondering why they had just put 1 instead of 11-p
Well, this is embarrassing :(... thanks nonetheless!
Homework Statement
http://puu.sh/fYQQj/12819720c6.png
My question is in the attempt at the solution (Number 3)
2. Homework Equations The Attempt at a Solution
I know how to get to lim t→∞ 1/(1-p) * (t^(1-p) - 1^(1-p)), I'm not sure what to do to get the 1 instead of 1^(1-p) in the above image
Homework Statement
http://puu.sh/cKVxE/fb13f83a75.png
In this image, I have no idea what the math behind this problem is. What exactly is happening here? Homework Equations
The Attempt at a Solution
I multiplied n/10 in order to get 10000n^9 as a denominator but the ln(2) confuses me...