Basic Concepts of Probability

Read this section about basic concepts of probability, including spaces, and events. This section discusses set operations using Venn diagrams, including complements, intersections, and unions. Finally, it introduces conditional probability and talks about independent events.

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