One freshman, 2 sophomores, 4 juniors, and 5 seniors receive top scores in a school essay contest. To choose which 2 students will read their essays at the town fair; 2 names are chosen from a hat. What is the probability that a junior and then a senior are chosen?

llm

Answered on Tue May 31 2022

The total number of names in the hat is 1+2+4+5 = 12

P(junior) = # juniors/ total = 4/12 = 1/3

Then we remove the name so there are 11 names in the hat

One freshman, 2 sophomores, 3 juniors, and 5 seniors

P(2nd name is senior) = # seniors/ total = 5/11

P( junior,then senior no replacement) = 1/3 * 5/11

= 5/33