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

Describe the system with 3 variables, Describe the System with 3 Variables ...

Describe the System with 3 Variables ? This is an example of solving a system of equations using the substitution method. Warning: You will not understand this example if you

Solid mensuration., assuming that the earth''s sphere with a radius of 6400...

assuming that the earth''s sphere with a radius of 6400 km.. find the distance along a 3 degree arc at the equator of the earth''s surface?

the comic book, a) The first comic book is of shakitman was sold in 1938. ...

a) The first comic book is of shakitman was sold in 1938. In 2010, the estimated price for this comic book in good condition was about $500,000. This represented a return of 25 per

Find the depth of water in the pond, A lotus is 2m above the water in a pon...

A lotus is 2m above the water in a pond. Due to wind the lotus slides on the side and only the stem completely submerges in the water at a distance of 10m from the original positio

Calculate the mean, Calculate the mean, variance & standard deviation of th...

Calculate the mean, variance & standard deviation of the number of heads in a simultaneous toss of three coins.     SOLUTION:    Let X denotes the number of heads in a simu

Find lim sup, 1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd a...

1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even.  2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2.  3.let r>0 an

Rates of change and tangent lines in limits, Rates of Change and Tangent Li...

Rates of Change and Tangent Lines : In this section we will study two fairly important problems in the study of calculus. There are two cause for looking at these problems now.

Domain and range of a function , Domain and range of a functio:  One of th...

Domain and range of a functio:  One of the more significant ideas regarding functions is that of the domain and range of a function. In simplest world the domain of function is th

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