Suppose you are playing the board game Settlers of Catan a g

Suppose you are playing the board game Settlers of Catan (a game involving the rolling of two dice). You need to roll a sum between 4 and 6 inclusive or a sum of 11, what is the probability of you winning? Make a complementary cumulative probability distribution table to solve this problem

Solution

For two dice, there are 6*6 = 36 possibilities.

Consider this table:

Now,

P(between 4 and 6 or 11) = P(4) + P(5) + P(6) + P(11)

= 0.388888889 [ANSWER]