There are 90 students in a physics class. The instructor must choose two students at random.
Students in a Physics Class
Academic Year Males Females
Freshmen 8 13
Sophomores 2 10
Juniors 18 2
Seniors 9 5
What is the probability that a sophomore male and then a junior male are chosen at random? Express your answer as a fraction or a decimal number rounded to four decimal places.
prob that choose male sophomore
2/90
prob that chose male junior
18/90
(2/90)*(18/90)= 36/8100
36/8100 = 0.0044444444444444