Write the solution legibly. No long explantion needed. Rate will be given. A pair of dice are thrown once. What is the probability that: a. the sum of the dice is less than 8 given that one of the die...

Write the solution legibly. No long explantion needed. Rate will be given.

A pair of dice are thrown once. What is the probability that:

a. the sum of the dice is less than 8 given that one of the die shows a number less than 4? (Answer in fraction)

b. the sum of the dice is 10 given that a 6 turns up in at least one die?

c. the sum is 8, if it is known that one of the die shows a 5?