MATHEMATICS
Consider the following contingency table.
B  B^{c}  
A  26  23 
A^{c}  26  25 
a. Convert the contingency table into a joint probability table. (Round your intermediate calculations and final answers to 4 decimal places.)
B  B^{c}  Total  
A  
A^{c}  
Total 
b. What is the probability that A occurs? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability:
c. What is the probability that A and B occur? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability:
d. Given that B has occurred, what is the probability that A occurs? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability:
e. Given that Ac has occurred, what is the probability that B occurs? (Round your intermediate calculations and final answer to 4 decimal places.)
Probability:
f.  Are A and B mutually exclusive events?  

g.  Are A and B independent events?  
