1. Suppose there are n people in a room. Estimate n if you wish to have an approximately 50% chance of finding someone who shares your birthday; assume there are 365 days in a year; not counting February 29). 2. Five identical six-sided unbiased dice are rolled, what is the probability that the sum is a prime? 3. GivenP(A)=0.5,P(B)=0.3,andP(AB)=0.6, Find P(A | Bc). Use RStudio code only..