Question 1

## # A tibble: 9 x 2
##       i      P
##   <int>  <dbl>
## 1     0 0     
## 2     1 0.0203
## 3     2 0.0508
## 4     3 0.0964
## 5     4 0.165 
## 6     5 0.268 
## 7     6 0.422 
## 8     7 0.653 
## 9     8 1
  1. Timid Strategy
  2. Bold Strategy
## [1] 0.064
  1. The bold strategy gives Smith the better chance of getting out of jail at .064 when compared to .0203 of the timid strategy. That is a 4.37% better chance