Two dice each have the property that a 2 or a 4 is three times as likely to appear as a 1, 3, 5, or 6 on each roll. What is the probability that a 7 will be the sum when the two dice are rolled?

The probability of rolling a 1 + the probability of rolling a 2 + the probability of rolling a 3 + the probability of rolling a 4 + the probability of rolling a 5 + the probability of rolling a 6 = 1.

There are a limited number of ways of rolling the dice to have the sum shown on the dice to equal to 7.

First die = 1 (probability 0.1) Second die = 6 (probability 0.1)

First die = 2 (probability 0.3) Second die = 5 (probability 0.1)

First die = 3 (probability 0.1) Second die = 4 (probability 0.3)

First die = 4 (probability 0.3) Second die = 3 (probability 0.1)

First die = 5 (probability 0.1) Second die = 2 (probability 0.3)

First die = 1 (probability 0.1) Second die = 6 (probability 0.1)

Now we can sum all of these probabilities

Probability of rolling a 7 is

The probability of rolling a 7 when two dice are rolled is 0.1667, or approximately 16.67%.