A black die and a white die are thrown at the same time. If the probability of obtaining a total of $6$ is $\frac{k}{36}$, then find $k.$

A black die and a white die are thrown at the same time. If the probability of obtaining a total of $10$ is $\frac{k}{12}$, then find $k$.

A black die and a white die are thrown at the same time. If the probability of obtaining the same number on both dice is $\frac{k}{6}$, then find$k$ .

A black die and a white die are thrown at the same time. If the probability of obtaining a total more than $9$ is $\frac{k}{6}$, then find $k$.

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the sum of the two numbers appearing on the top of the dice is $13$?

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the sum of the numbers appearing on the top of the dice is less than or equal to $12$?

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the product of the numbers appearing on the top of the dice is less than $9$. If the probability is $\frac{k}{9}$, then find $k$.

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the difference of the numbers appearing on the top of the two dice is $2$. If the probability is $\frac{k}{9}$, then find $k$.

A black die and a white die are thrown at the same time. Write all the possible outcomes. What is the probability that the numbers obtained have a product less than $16$. If the probability is $\frac{k}{36}$, then find $k$.