In this task, you need to provide the correct option for a given problem on probability from the provided options.
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Question: Problem: given a bag with 2 red balls and 3 yellow balls , you randomly select one of them , in order . if the second ball you take is yellow , what is the probability that the first one was also yellow ? 
Options: a ) 1 / 2 , b ) 1 / 5 , c ) 3 / 4 , d ) 1 / 3 , e ) 3 / 5

Answer: a


Question: Problem: there is a 5 % chance that tigers will not win at all during the whole season . there is a 5 % chance that federer will not play at all in the whole season . what is the greatest possible probability that the tigers will win and federer will play during the season ? 
Options: a ) 55 % , b ) 60 % , c ) 70 % , d ) 72 % , e ) 95 %

Answer: e


Question: Problem: a fair coin is tossed 5 times . what is the probability that it lands heads up at least twice ? 
Options: a ) 1 / 16 , b ) 5 / 16 , c ) 2 / 5 , d ) 13 / 16 , e ) 27 / 32

Answer:
d


