Probability questions, Mathematics

Assignment Help:

The probability that a person will get an electric contract is 2/5 and the contract that he will not get plumbing  contract is 4/7.If the probability of getting at least one contract is 2/3,what is the probability that he will get both?

A)  17/105     B) 17/106      C) 15/106     D) 18/106

 

Consider the following events: A=person gets an electric contract=person gets plumbing contract

We have,

P(A)=2/5,P(B)=4/7 and P(AUB)=2/3

Now (AUB)=P(A)+P(B)-P(A∩B)

=>2/3=2/5+(1-4/7)-P(A∩B)

=>P(A∩B)=2/3+3/7-2/3=17/105

 

 


Related Discussions:- Probability questions

Differential equation, Cos(x+y)+sin(x+y)=dy/dx(solve this differential equa...

Cos(x+y)+sin(x+y)=dy/dx(solve this differential equation)

Kara brought $23 with her when she went shopping, Kara brought $23 with her...

Kara brought $23 with her when she went shopping. She spent $3.27 for lunch and $14.98 on a shirt. How much money does she have left? The two items that Kara bought must be sub

Round this number to the closest thousandth, It takes the moon an average o...

It takes the moon an average of 27.32167 days to circle the earth. Round this number to the closest thousandth. The thousandths place is the third digit to the right of the dec

Dynamic and kinematic viscosity , Tabulated values of the dynamic and kinem...

Tabulated values of the dynamic and kinematic viscosity of aqueous sodium chloride solutions have been researched in the academic literature (Kestin et al 1981). The data availab

Alcohol solution (mixture), Nora works at a laboratory as a chemist . she w...

Nora works at a laboratory as a chemist . she was told to prepare 100L of 25% alcohol solution. she has on hand of a 15% percent alcohol solution and a 40% alcohol solution which s

Mensuration, if area of a rectangle is 27 sqmtr and it perimeter is 24 m fi...

if area of a rectangle is 27 sqmtr and it perimeter is 24 m find the length and breath#

Bcubi bui, hellow my name is isa soo what is your name?? i love the name ex...

hellow my name is isa soo what is your name?? i love the name experts mind so what is 8000+98800+600+935=what i do not know so can you tell me thank you oh thir is another one wha

Rank correlation coefficient, Rank Correlation Coefficient Also ident...

Rank Correlation Coefficient Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two vari

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd