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

Stat, defination of uper boundarie .

defination of uper boundarie .

Relationship between inverse and sine function, Relationship between the in...

Relationship between the inverse sine function and the sine function We have the given relationship among the inverse sine function and the sine function.

PROBLEM SOLVING, The perimeter of a rectangular swimming pool is 60m. The l...

The perimeter of a rectangular swimming pool is 60m. The length of the pool is 4 m more than the width. What is the width of the pool?

Natural numbers, To begin with we have counting numbers. These ...

To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtai

Find out the volume of the solid method of disks , Find out the volume of t...

Find out the volume of the solid obtained by rotating the region bounded by y = x 2 - 4x + 5 , x = 1 , x = 4 , and the x-axis about the x-axis. Solution : The firstly thing t

Equivalent fractions, what is 6/36 as two equivalent fractions 2/12 as tw...

what is 6/36 as two equivalent fractions 2/12 as two equivalent fractions 4/28 3/21 2/11 4/13=8/x 12/30=n/90 q/54=2/9 3/7 14/h=7/20

Cynthia, #stioquen..Store A is advertising a sale that will reduce prices o...

#stioquen..Store A is advertising a sale that will reduce prices on all merchandise by 15%. Store B is advertising a sale that will reduce prices on all merchandise by one over fiv

Calculate probabilities, Iran is trying to decide whether it should pursue ...

Iran is trying to decide whether it should pursue its nuclear weapons program, and its decision will be affected in large measure by what it expects the United States to do. Your a

Decision theory, Decision Theory Decisions There are many types of ...

Decision Theory Decisions There are many types of decision making 1.      Decision making under uncertainty It refer to situations where more than one outcome can r

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