Find probabilities of compound events

Write the favorable count over the total, in lowest terms.

1. A bag holds 3 red, 6 blue and 6 green marbles. What is the probability that a marble drawn at random is not red? Write a fraction in lowest terms.
2. A bag holds 3 red, 6 blue and 5 green marbles. What is the probability that a marble drawn at random is not red? Write a fraction in lowest terms.
3. A bag holds 2 red, 5 blue and 3 green marbles. What is the probability that a marble drawn at random is not red? Write a fraction in lowest terms.
4. A bag holds 6 red, 6 blue and 4 green marbles. What is the probability that a marble drawn at random is not red? Write a fraction in lowest terms.
5. Bag A has 4 red and 5 blue marbles. Bag B has 2 red and 1 blue marbles. One marble is drawn from each bag. What is the probability that both are red? Write a fraction in lowest terms.
6. Bag A has 2 red and 5 blue marbles. Bag B has 6 red and 2 blue marbles. One marble is drawn from each bag. What is the probability that both are red? Write a fraction in lowest terms.
7. Bag A has 5 red and 1 blue marbles. Bag B has 4 red and 2 blue marbles. One marble is drawn from each bag. What is the probability that both are red? Write a fraction in lowest terms.
8. Bag A has 2 red and 3 blue marbles. Bag B has 1 red and 2 blue marbles. One marble is drawn from each bag. What is the probability that both are red? Write a fraction in lowest terms.
9. In a class of 56 students, 23 play soccer, 28 play chess and 7 do both. What is the probability that a student chosen at random plays soccer or chess? Write a fraction in lowest terms.
10. In a class of 21 students, 10 play soccer, 10 play chess and 4 do both. What is the probability that a student chosen at random plays soccer or chess? Write a fraction in lowest terms.
11. In a class of 29 students, 8 play soccer, 23 play chess and 6 do both. What is the probability that a student chosen at random plays soccer or chess? Write a fraction in lowest terms.
12. In a class of 51 students, 26 play soccer, 14 play chess and 1 do both. What is the probability that a student chosen at random plays soccer or chess? Write a fraction in lowest terms.
13. Of 24 students, 16 are in the band and 13 of those band students also play soccer. Given that a student is in the band, what is the probability that the student plays soccer? Write a fraction in lowest terms.
14. Of 55 students, 25 are in the band and 6 of those band students also play soccer. Given that a student is in the band, what is the probability that the student plays soccer? Write a fraction in lowest terms.
15. Of 59 students, 31 are in the band and 29 of those band students also play soccer. Given that a student is in the band, what is the probability that the student plays soccer? Write a fraction in lowest terms.
16. Of 68 students, 37 are in the band and 28 of those band students also play soccer. Given that a student is in the band, what is the probability that the student plays soccer? Write a fraction in lowest terms.
17. A bag holds 3 red and 1 blue marbles. Two marbles are drawn without replacement. What is the probability that both are red? Write a fraction in lowest terms.
18. A bag holds 7 red and 1 blue marbles. Two marbles are drawn without replacement. What is the probability that both are red? Write a fraction in lowest terms.
19. A bag holds 6 red and 1 blue marbles. Two marbles are drawn without replacement. What is the probability that both are red? Write a fraction in lowest terms.
20. A bag holds 3 red and 4 blue marbles. Two marbles are drawn without replacement. What is the probability that both are red? Write a fraction in lowest terms.