Determine whether the scenario involves independent or dependent events. Then find the probability to the nearest thousandth.

Question

Determine whether the scenario involves independent or dependent events. Then find the probability to the nearest thousandth.

 

There are eight boys and five girls in a class. The teacher randomly selects three different students to answer questions. The first student is a girl, the second student is a boy, and the third student is a girl.

 

Answer 1

These are dependent events because sampling without replacement

5/13 1st one a girl

8/12 2nd one a boy

4/11 3rd one a girl

probability = 5/13 * 8/12 * 4/11 = 160/1716 = 0.093.