Question

Probability Race game

Read the whole thing. Question 2 will be posted separately to make the question simple.

Question 1:
Why should you not play this game with Roland? Use probability to prove that
the game is unfair and Roland is likely to win. SHOW ALL YOUR WORK!

Answer 1

see below

Explanation:

There are 36 possible outcomes when rolling 2 die

P( number) = number of times the sum appears / total outcomes

p(1) =0/36

P(2) = 1/36

p(3) = 2/36

p(4) = 3/36

p(5) = 4/36

p(6) = 5/36

p(7) = 6/36

p(8) = 5/36

p(9) = 4/36

p(10) = 3/36

p(11) = 2/36

p(12) = 1/36

Since he picked first he has the greatest odds so he is most likely to win