statistics
posted by bri .
your teacher has invented a fair dice game to play. your teacher will roll one fair eight sided die and you will roll a fair six sided die. each player rolls once and the winner is the person with the higher number. in case of a tie neither player wins.
a. let A be the event "your teacher wins" find P(A).
B. let b be the event "you get a 3 on your first roll.+ Find P( A u B).

Consider the outcomes as ordered pairs of the form
(teacher, student)
we could list them as follows
11 12 13 14 15 16
21 22 23 24 25 26
...
71 72 73 74 75 76
81 82 83 84 85 86
there are 48 outcomes
15 have teacher < student
6 have teacher = student
27 have teacher > student
P(teacher wins) = 27/48 = 9/16
Respond to this Question
Similar Questions

math fair
The game of dots is played by rolling a fair die and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? 
math
The game called dots is played by rolling a fair die and receiving 1$ for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? 
Math
The game of dots is played by rolling a fair die and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? 
Math
The game of dots is played by rolling a fair die and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be consdiered a fair game? 
MathFair Game question
the game of dots is played by rolling a fair die and receiving 1$ for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? 
math
The game of dots is played by rolling a fair die and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? 
Math
The game of dots is played by rolling a fair dice and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? 
Math
The game of dots is played by rolling a fair die and receiving $1 for each dot showing on the top face of the die. What cost should be set for each roll if the game is to be considered a fair game? 
geometry!!!! PLEASE HELP!!!!
Bret and Shawn are playing a game where each turn the players roll a 20sided die fair and then add the number they get to their score. The winner is the player with the highest score at the end of the game (there may be a tie). Before … 
probability
We have two fair threesided dice, indexed by i=1,2. Each die has sides labelled 1, 2, and 3. We roll the two dice independently, one roll for each die. For i=1,2, let the random variable Xi represent the result of the ith die, so …