PROBLEM SOLVING. PROBABILITY AND COMBINATION

1. What is the probability of getting a queen or a diamond in a single draw froma deck of ordinary playing cards?
2. The probability that a student passes Math is 2/3, and the probability that he passes English is 4/9. If the probability of passing at least one course is 4/5, what is the probability that he will pass both courses?
3. Suppose you draw two cards, one at a time, with replacement from a deck of ordinary cards, what is the probability that both cards will be kings?
4. A pair of fair dice is rolled once. What is the probability of getting a 3 on the first die and a 5 on the second die?