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

General math, Kwai made 5 pints of iced tea. How many cups of tea did he ma...

Kwai made 5 pints of iced tea. How many cups of tea did he make?

Monica, Express area of a square with sides of length 5ab as a monomial.

Express area of a square with sides of length 5ab as a monomial.

Geometry, if each tile with aside that measures one foot, how many tiles wi...

if each tile with aside that measures one foot, how many tiles will be needed?

Which of the partially ordered sets are lattices, Which of the partially or...

Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer.   Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting

Sketch the hyperbolic spiral-spiral of archimedes, 1. Sketch the Spiral of ...

1. Sketch the Spiral of Archimedes: r= aθ (a>0) ? 2: Sketch the hyperbolic Spiral: rθ = a (a>0) ? 3: Sketch the equiangular spiral: r=ae θ (a>0) ?

Velocity and acceleration - three dimensional space, Velocity and Accelerat...

Velocity and Acceleration - Three Dimensional Space In this part we need to take a look at the velocity and acceleration of a moving object.    From Calculus I we are famili

Calculus, The law of cosines can only be applied to acute triangles. Is thi...

The law of cosines can only be applied to acute triangles. Is this true or false?

Scalar equation of plane - three dimensional spaces, Scalar Equation of Pla...

Scalar Equation of Plane A little more helpful form of the equations is as follows. Begin with the first form of the vector equation and write a vector for the difference. {

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