Question
5. Congressional Committee Memberships The
composition of the 108th Congress is 51 Republicans,
48 Democrats, and 1 Independent. A committee on aid
to higher education is to be formed with 3 Senators to
be chosen at random to head the committee. Find the
probability that the group of 3 consists of
a. All Republicans
b. All Democrats
c. One Democrat, one Republican, and one
Independent
composition of the 108th Congress is 51 Republicans,
48 Democrats, and 1 Independent. A committee on aid
to higher education is to be formed with 3 Senators to
be chosen at random to head the committee. Find the
probability that the group of 3 consists of
a. All Republicans
b. All Democrats
c. One Democrat, one Republican, and one
Independent
Answers
PsyDAG
The probability of all events occurring is found by multiplying the probability of the individual events.
a. (51/100)(50/99)(49/98) = ?
b. Work similar to a.
c. (48/100)(51/99)(1/98) = ?
a. (51/100)(50/99)(49/98) = ?
b. Work similar to a.
c. (48/100)(51/99)(1/98) = ?