SOLUTION: A class contains 3 fresh, 4 soph, 6 juniors and 2 seniors. four students are selected at random, find the probability that...
a. all four are juniors
b. no fresh are selected
Algebra.Com
Question 190148: A class contains 3 fresh, 4 soph, 6 juniors and 2 seniors. four students are selected at random, find the probability that...
a. all four are juniors
b. no fresh are selected
c. 1 of each year is selected
d.. 2 fresh and 2 juniors
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A class contains 3 fresh, 4 soph, 6 juniors and 2 seniors. four students are selected at random, find the probability that...
a. P(all four are juniors) = 6C4/15C4 = 15/1365 = 0.01099..
------------------------------------------------------------
b. P(no fresh are selected) = 12C4/15C4 = 495/1365
-------------------------------------------------------------
c. P(1 of each year is selected) = (3+4+6+2)/1365 = 15/1365
------------------------------------------------------------
d.. P(2 fresh and 2 juniors) = [3C2 + 6C2]/15C4 = (3 + 15)/1365 = 18/1365
-------------------------------------------------------------
Cheers,
Stan H.
RELATED QUESTIONS
1. At a campus club meeting, there are 6 seniors, 4 juniors and 3 sophmores. If a... (answered by brandonpark2889)
a football team conists of 20 each freshmen and sophmores, 15 juniors, and 10 seniors.... (answered by stanbon)
A class has 4 seniors, 5 juniors, 3 sophomores, and 6 freshmen. If you randomly choose... (answered by Boreal)
A football team consists of 19 each freshmen and sophomores, 14 juniors, and 17 seniors.... (answered by Boreal)
A football team consists of 20 freshmen and 20 sophomores, 15 juniors, and 10 seniors.... (answered by ewatrrr)
Of a group 6 seniors and 7 juniors, 5 students will be selected at random to attend a... (answered by edjones)
In a class of 35 students, 11 are seniors, 8 are juniors, 9 are sophomores, and 7 are... (answered by ikleyn)
In a class of 35 students, 11 are seniors, 8 are juniors, 9 are sophomores, and 7 are... (answered by Theo)
B. In a Statistics class, there are 28 juniors and 12 seniors; 18 of the
juniors are... (answered by Theo)