MATH 110 TEST 3- PORTAGE LEARNING

MATH 110 TEST 3- PORTAGE LEARNING
Suppose A and B are two events with probabilities:


P(Ac )=.70,P(B)=.65,P(A∪B)=.80.



Find the following:


a) P(A∩B).

For P(A∩B). Use P(A∪B)=P(A)+P(B)-P(A∩B) and
rearrange to

P(A∩B)=P(A)+P(B)-P(A∪B). But for this equation, we need P(A) which we can find by
using P(A)=1-P(Ac ). So, P(A)=1-.70= .30.




P(A∩B)=.30+.65-.80=.15.

b) P(A).


P(A) was found above as .30.


c) P(Bc).


For P(Bc ). Use P(B)=1-P(Bc ) which may be rearranged to (Bc )=1-P(B) .




P(Bc )=1-.65=.35.


Suppose you are going to make a password that consists of 6 characters chosen from
{3,4,5,7,d,f,g,k,q,r,s,w}. How many different passwords can you make if you
cannot use any character more than once in each password?




This study source was downloaded by 100000834306259 from CourseHero.com on 04-20-2022 02:48:13 GMT -05:00


https://www.coursehero.com/file/39276415/test-3/