Give two assignments, different from those in the text, of probabilities when counting the number of molecules inside a cell starting from an initial number of 3. Compute Pr(N is odd) and Pr(N ≠ 1) in each case.
1. Create an assignment where Pr(N = 1) is larger than the probability of any other simple event (but none is zero).
2. Create an assignment where Pr(N = 1) is equal to the probability of each other simple event.
3. Create an assignment where Pr(N = 1) is smaller than the probability of any other simple event, but not equal to 0.
4. Create an assignment where the probabilities get larger as the number of molecules gets larger.