A group of 130 students at a private university were asked if they are full-time or part-time and if they have gym memberships. The results are shown in the table above. Given that a randomly selected survey participant is part-time, what is the probability that this student has a gym membership? Give your answer as a fraction. Part-time Full-time Total
No Gym Membership 16 48 64
Gym Membership 11 55 66
Total 27 103 130

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

30 people weigh 160 pounds or more