instruction:
In this task, you need to provide the correct option for a given problem on probability from the provided options.
question:
Problem: a box contains 100 balls , numbered from 1 to 100 . if 3 balls are selected at random and with replacement from the box . if the 3 numbers on the balls selected contain two odd and one even . what is the probability l that the first ball picked up is odd numbered ? 
Options: a ) 0 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 1
answer:
d


question:
Problem: a fair coin is tossed 11 times . what is the probability of getting more heads than tails in 11 tosses ? 
Options: a ) 1 / 2 , b ) 63 / 128 , c ) 4 / 7 , d ) 61 / 256 , e ) 63 / 64
answer:
a


question:
Problem: how many different ways can 2 students be seated in a row of 5 desks , so that there is always at least one empty desk between the students ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 12
answer:

e


