You are playing a game with your friends, alex and jeff. the first player who rolls a total of seven using two number cubes gets to start the game. explain how to find the probability that you will roll a total of seven on your first try.

A table can show all the possible sums for two number cubes. Using the table, there are 6 ways to get 7, and 36 possible sums, so the probability is 6/36 = 1/6.

Step-by-step explanation:

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