1. A bag contains 6 red balls, 4 blue balls, and 5 green balls. Three balls are drawn at random without replacement. What is the probability that all three balls are of different colors?

2. A box contains 5 red balls and 3 blue balls. Two balls are drawn with replacement. What is the probability that both balls are of the same color?

3. In a group of 20 people, 12 like coffee and 15 like tea. If 3 people like neither coffee nor tea, how many like both?

4. In a standard deck of 52 cards, what is the probability of drawing a face card (Jack, Queen, or King) or a red card?

5. A bag contains 7 white balls and 5 black balls. Three balls are drawn at random without replacement. What is the probability that exactly two of the balls are white?

6. If you roll a fair six-sided die, what is the probability of rolling a number that is either even or greater than 4?

7. In a class of 50 students, 30 passed math and 35 passed science. If 20 students passed both subjects, how many students failed at least one subject?

8. If the probability of an event A is 0.3 and the probability of event B is 0.5, what is the probability of both events occurring if they are independent?

9. In a standard deck of 52 cards, what is the probability of drawing a card that is either a spade or a face card?

10. If the probability of rain on Saturday is 0.3 and the probability of rain on Sunday is 0.4, what is the probability that it will rain on at least one of these days? (Assume the events are independent)