1- Consider the following experiment: A trial consists of throwing a fair 6-sided die 2 times. Describe the probabilistic model and compute the probability that the number observed in second throw is greater than or equal to the number observed in the first throw

2- Suppose that (,P) is a probabilistic model with defined as ={nN1n10}. AssumealsothatPisadiscreteuniformproba- bility. Define the following events:

A = {all even numbers in }, B = {multiples of 5 in }.

Compute P(AB). (Hint: Use the inclusion-exclusion formula). How would your answer change if we changed the sample space to = {n N 1 n 10^3}?