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?

5/33 oe 0.1515

Step-by-step explanation:

Total = 1 + 2 + 4 + 5 = 12

4/12 * 5/11 = 5/33

= 0.1515151515

5/33

Step-by-step explanation:

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