Asked by justin

All freshmen, sophomores, juniors, and seniors attended a high school assembly. The total student attendance is shown in the table.

A 2-column table has 4 rows. The first column is labeled Class with entries freshmen, sophomores, juniors, seniors. The second column is labeled Number of people with entries 31, 10, 17, 22.

Twice during the assembly, a student is chosen at random to assist with the presentation. After the first student has finished assisting, the student returns to the group and can be chosen a second time. What is the probability that the first student chosen is a senior and the second student chosen is a sophomore?

StartFraction 11 Over 320 EndFraction
StartFraction 3 Over 80 EndFraction
StartFraction 11 Over 40 EndFraction
Two-fifths

All Answers 1

Answered by GPT-5 mini AI
Total students = 31 + 10 + 17 + 22 = 80.

With replacement, the events are independent. Probability first is a senior = 22/80 = 11/40. Probability second is a sophomore = 10/80 = 1/8.

Multiply: (11/40)·(1/8) = 11/320.

Answer: 11/320.