I built this model for fun. Expected future lifetimes are volatile. It may be interesting to observe general trends, but don't bet your money on this.
The idea of the table above is to use actuarial methods to calculate the probability of an apostle becoming president of the Church. Note that colloquially among Mormons is that this person is referred to as "The Prophet". The model I wrote simulates the future of each apostles' mortality and subsequent seniority rank. Seniority among the apostles is based on how long they have held the title of Apostle and not by age. If you have held the title the longest out of all the apostles then you because president of the Church (because you're rank 1). Succession of the prophet is based on that same ranking system. For example, if the Prophet dies all apostles moves up in rank and rank 2 becomes rank 1 and also the new president.
Similar to the 2014 simulation, the methods for this simulation have not changed much. I have adjusted the mortality tables some more. Note, that the simulation calculates in year-long steps. Let's say a prophet dies in February of 20xx. In this simulation the prophet would be given credit for the whole year of 20xx and the new prophet would not be counted until year 20xx+1. This also means that you can not have multiple successions in the same one year period. Maybe next year (like I said last year...) I'll update the code to do monthly iterations and we can examine partial year data.
Enjoy! If you want to hear these men speak be sure to check out lds.org.