Problem 1

Three six sided dice are thrown

a) What's the probability that 2 even and 1 uneven numbers come up

b) What's the probability that at least 2 even numbers come up

c) What's the probability that 2 sixes come up

d) What's the probability that more than or equal to 2 sixes come up

Problem 2

Five six sided dice are thrown

a) What's the probability that all numbers come up even

b) What's the probability that at least 1 six comes up

c) What's the probability that there is exactly 1 six

d) What's the probability that five different numbers come up

Problem 3

There are 2 urns with white and black balls. In the first urn there are 7 white and 8 black balls, in the second urn there are 9 white and 8 black balls.

From the first urn to the second 4 balls are moved. From the second urn 2 balls are taken out.

a) What's the probability that 2 white balls are taken out from the second urn

b) What's the probability, if 2 white balls are taken out, that 2 white and 2 black balls are moved

Problem 4

X; F(x) = {0, x <= 0

{1/δ'λ^7, x ∈ [0,2]

{1, x >= L

a) F(λ) = ?

b) D(x) = ?

c) p(x > L)