Question

A jury of 16 individuals includes three jurors who belong to a particular group. The jury was selected from a population of 50 individuals.

1. What is the probability of this assuming that five of the 50 were members of the group?

2. That 20 were group members?

Answer 1

1) Probability of selecting 16 jurors from 50 members, such that 3 are from a particular group given that 5 were initially in the group is computed here as:

= Number of ways to select 3 members from the 5 member particular group * Number of ways to select rest 13 from the 45 non particular group / Total ways to select 16 jurors from the 50 members

Therefore 0.1483 is the required probability here.

2) Given that there were initially 20 members in the particular group, the probability here is computed using the same above method as:

Therefore 0.0277 is the required probability here.