In a group of 100 people, 50 earned A's in their math course and 50 earned B's. Of the people that earned A's, it is determined that 10 of them went to a math tutor and 2 of those with B's also went to a math tutor. a. If we know someone visited a math tutor, what are the odds they earned an A? 

b. If we know someone did not visit a math tutor, what are the odds they earned a B? 

c. What is a reasonable conclusion that you can make, based on the calculated odds?

 

Answer rating: 100% (QA)

a To calculate the odds that someone earned an A given that they visited a math tutor we can use Bayes theorem Lets denote A as the event of earning an A and T as the event of visiting a math tutor We want to find PAT the probability of earning an A given that the person visited a math tutor According to the information given 10 people with As visited a math tutor and a total of 12 people visited a math tutor 10 with As and 2 with Bs Therefore PTA the probability of visiting a math tutor given that the person earned an A is 1050 15 Bayes theorem states PAT PTA PA PT PA is the probability of earning an A which is 50100 12 PT is the probability of visiting a math tutor which is 12100 325 Plugging in the values PAT 15 12 325 110 325 110 253 2530 56 Therefore the odds that someone earned an A given that they visited a math tutor is 51 or 56 b Similarly to calculate the odds that someone earned a B given that they did not visit a math tutor we want to find PBnot T the probability of earning a ... View the full answer