Martha has the unique talent of being able to guess other people’s height and weight. For every six people that Martha meets, she consistently guesses the people’s correct height five times, and for every eight people that she meets, she consistently guesses the people’s correct weight six times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once?	Answers:
A) 8/27
B) 2/5
C) 485/512
D) 98/125
E) 625/952
Probability that she guesses the height correctly P(h)=5/6   Probability that she guesses the weight correctlyP(w)=6/8   Probability that she guesses both weight and height correctly(P(h)*P(w))=5/6 * 6/8= 30/48   Now the Q asks about the probability of this happening atleast once.   We calculate it by finding the probability of not being able to guess in any of the three occasions.   Probability of not being able to guess any no. of times =1-30/48=18/48=3/8   For all three occasions P(A)=3/8 * 3/8 * 3/8=27/512   Probability of the event happening atleast once=1- P(A)=1-27/512=485/512   Ans should be 485/512
<result>C</result>
Martha has the unique talent of being able to guess other people’s height and weight. For every six people that Martha meets, she consistently guesses the people’s correct height five times, and for every eight people that she meets, she consistently guesses the people’s correct weight six times. If Martha meets three people and her success rate remains constant, what is the probability that Martha correctly guesses a person’s weight and height at least once?