Solve in RStudio:

Consider the following problem: we roll a D6 (6-sided) die and a D8 (8-sided) die simultaneously. We want to simulate the probability that the sum of results will be greater than 10. To do that in R we can create a random vector (of length n) of simulated rolls for each of the dice (e.g. for a D6 die it could be done like this: D6 <- floor(runif(n, 1, 7)), add those vectors to one another and calculate what percentage of simulated sums (D6+D8) is greater than 10.

1. We roll a D6 die and a D8 die simultaneously. Estimate (simulate) the probability that the sum of results will be greater than s = 10. Use n = 10000 simulated results.

2. Use a for loop to approximate the probability from point 1 for n = 1; 2; :::; 1000. Present your results on a line plot.

3. We roll a Da (a-sided) die and a Db (b-sided) die simultaneously. Write a function that will allow you to estimate the probability that the sum of results will be greater than s, for any positive integers a, b, s, n.