The city council consists of 3 Democrats, 5 Republicans and 3 independents. Subcommittees are supposed to be randomly assigned from the council. Suppose the 5-member planning and zoning subcommittee is composed of 3 Democrats and 2 Republicans. The probability of this happening by chance alone is approximately .4545.

Question

Quizplus · Accepted Answer

The probability of selecting a subcommittee with 3 Democrats and 2 Republicans from a council consisting of 3 Democrats, 5 Republicans, and 3 Independents involves calculating the combinations of selecting these members and dividing by the total combinations of selecting any 5 members from the 11 total members. The calculation does not yield a probability of approximately .4545.

The City Council Consists of 3 Democrats, 5 Republicans and 3