Question 1:

You and a friend are talking about the probability of getting a heads on a single toss of a fair coin. Your friend insists that you are more likely to get a heads on a single toss of a fair coin than a tails. Is your friend correct, why or why not? If we were to toss the fair coin an infinite number of times, what would we expect?

Question 2:

What does it mean for two probabilities to be mutually exclusive? Provide an example of probabilities that are mutually exclusive.

Please cite all references

Each question be at least 2 paras