Question

There are 102102 students in a statistics class. The instructor must choose two students at random. Students in a Statistics Class Academic Year Statistics majors non-Statistics majors Freshmen 1414 55 Sophomores 55 1616 Juniors 1818 66 Seniors 2020 1818 Copy Data What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

What is the probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random?

There are 5 freshman non-Statistics majors out of 102 students.

Then, there will be 18 junior statistics majors out of 101 students(1 will have already been chosen). So

`p = (5)/(102)*(18)/(101) = (5*18)/(102*101) = 0.0087`

0.0087 probability that a freshman non-Statistics major and then a junior Statistics major are chosen at random