Homework Statement
Suppose an urn contains 6 white and 9 black numbered balls.
a) 4 balls are collected in random without replacement. What is the probability the first two are white and the last two are black?
b1) 4 balls are collected in random with replacement. What is the conditional...
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Homework Statement
Suppose we have two boxes, numbered 1 and 2.
Box 1 contains 10 white and 6 numbered red balls, while Box 2 contains 8 white and 12 numbered red balls.
We take out 2 balls from Box 1 and are transferred in Box 2. Then, we choose 1 ball from Box 2.
a) Find the...
Homework Statement
We have an ideal gas consisted of N classical particles, each having mass m. The system is inside a spherical bottle of radius R and is inside the gravitational field of the earth. The system is also in thermal equilibrium with a heat reservoir which has temperature T. I...