SOLUTION: in a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a student is selected at random, find the probability o

Click here to see ALL problems on Probability-and-statistics

Question 405211: in a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a student is selected at random, find the probability of selecting the following.
a. A junior or a female
b. A senior or a female
c. A junior or a senior
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
in a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males.
---
class #: 18 jun and 10 sen = 28 students
females: 6 senior: 6 juniors
males::: 4 senior ; 12 juniors
==============================
If a student is selected at random, find the probability of selecting the following.
a. P(A junior or a female) = P(junior)+P(female)-P(junior AND female)
= (18+12-6)/28
= 24/28
= 6/7
-------------

b. P(A senior or a female) = P(senior)+P(female)-P(senior AND female)
= (10+12-6)/28
= 16/28
= 4/7
==============
Cheers,
Stan H.
==============
c. A junior or a senior