Basic Concepts of Probability

1. a. 0.6

b. 0.4

c. not independent

3. a. 0.22

b. 0.81

c. 0.27

5. a. 0

b. 0

7. a. 0.5

b. 0.4

c. 0.6

9. a. 0.25

b. 0.33

c. 0

d. 0.25

11. a. $P(A)=0.3P(A)=0.3, P(R)=0.4P(R)=0.4, P(A∩R)=0.12$

b. independent

c. without computation 0.3

13. a. Insufficient information. The events A and B are not known to be either independent or mutually exclusive.

b. 0.21

c. 0

15. a. 0.25

b. 0.02

17. a. 0.5

b. 0.57

c. 0.875

d. 0.75

19. a. 0.4

b. 0.43

c. 0.38

21. a. 0.15

b. 0.14

c. 0.25

d. not independent

23. 0.0375

25. 0.931

27. 0

29. a. 0.36

b. 0.72