Answered

A geometry class has 12 first-year students and 18 second-year students. The teacher randomly selects two students
What is the probability that she will select a second-year student first and then a first-year student?
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Answer :

Answer:

36/145, or (24.8%)

Step-by-step explanation:

Odds of picking second-year: 18/30 (60%)
Odds of picking first-year after removing one second-year from the set: 12/29 (40%)

Odds of picking second-year and then a first-year (given that the same second-year is still in the pool): (18/30)*(12/29) = 36/145 (24.8%).