Please Help! 50 Points A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each roll, a player is given a certain number of points depending on the outcome.

If the sum is 2 or 12, the player receives +5 points.
If the sum is 3 or 11, the player receives +2 points.
If the sum is any other number, the player receives -1 points.
What is the expected value of the number of points a player will receive after a roll?

boxplot e is the answer

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

ok thats very interesting