instruction:
In this task, you need to provide the correct option for a given problem on probability from the provided options.
question:
Problem: how many different ways can 2 students be seated in a row of 8 desks , so that there is always at least one empty desk between the students ? 
Options: a ) 50 , b ) 42 , c ) 24 , d ) 20 , e ) 12
answer:
b


question:
Problem: the probability that event a occurs is 0.4 , and the probability that event b occurs is 0.45 . if the probability that either event a or event b occurs is 0.6 , what is the probability that event b and event b will occur ? 
Options: a ) 0.25 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55
answer:
a


question:
Problem: on a ranch , a rancher can place a loop of rope , called a lasso , once in every 2 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 4 attempts ? 
Options: a ) 3 / 4 , b ) 5 / 8 , c ) 7 / 8 , d ) 11 / 16 , e ) 15 / 16
answer:

e