SOLUTION: Suppose that there are 55 democrats and 45 republicans in the U.S. Senate.
A committee of seveen senators is to be formed by selecting members of the senate randomly.
A) what is
Algebra.Com
Question 345970: Suppose that there are 55 democrats and 45 republicans in the U.S. Senate.
A committee of seveen senators is to be formed by selecting members of the senate randomly.
A) what is the probability that the committee is composed of all democrats?
B) What is the probility the committe is composed of all republicans?
C) What is the probability that the committee is composed of three democrats and four republicans?
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
55 democrats and 45 republicans, we have to form committee of 7
no. of ways of selecting 7 from total 100 = 100C7
A.
no. of ways of selecting 7 democrats from 55 = 55C7
the probability that the committee is composed of all democrats= 55C7/ 100C7
..............................................................................
B.
no. of ways of selecting 7 republicans from 45 = 45C7
the probility the committe is composed of all republicans= 45C7 / 100C7
..............................................................................
C.
no. of ways of selecting 3 democrats from 55 and 4 republicans from 45
= 55C3 * 45C4
probability that the committee is composed of
three democrats and four republicans = (55C3 * 45C4) / 100C7
Sometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try the problem yourself.
RELATED QUESTIONS
A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how (answered by MathLover1,math_tutor2020)
A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how (answered by ewatrrr)
A committee of 6 U.S. senators is to be formed with 3 Democrats and 3 Republicans. In how (answered by jim_thompson5910,ikleyn)
The composition of the Senate of the 107 Congress is 49 Republicans, 1 Independent and 50 (answered by sudhanshu_kmr)
The Senate in a certain state is comprised of 55 ​Republicans, 41 ​Democrats, and 4... (answered by Boreal)
There are 100 senators and 34 are republicans and 66 are democrats. A bill to increase... (answered by ewatrrr)
The senate in a certain state is comprised of 59 republicans, 39 democrats, and 2... (answered by stanbon)
Senate had a total of 99 Democrats and Republicans. There are 11 more Republicans than... (answered by josmiceli)
The senate in a certain state is compromised of 54 republicans, 44 democrats, and 2... (answered by edjones)