In a board game, a player can get out of jail by rolling the pair (1,1) with 2 o
ID: 3383514 • Letter: I
Question
In a board game, a player can get out of jail by rolling the pair (1,1) with 2 ordinary 6 sided dice.
1. On any individual roll what is the probability that the player rolls (1,1)?
2. If X is the random variable that models the number of rolls a player takes to achieve the outcome (1,1) (including the roll on which the player is successful), what is the distribution of X?
3. On average, how many consecutive rolls can a player expect that it will take in order to achieve the desired outcome of (1,1) (including the roll on which the player was successful)?
Explanation / Answer
In a board game, a player can get out of jail by rolling the pair (1,1) with 2 o