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

Right-handed limit, Right-handed limit We say provided we can m...

Right-handed limit We say provided we can make f(x) as close to L as we desire for all x sufficiently close to a and x>a without in fact letting x be a.

What is slope of a line, What is Slope of a Line ? A line can have a "...

What is Slope of a Line ? A line can have a "steep" slope or a "gradual" slope. slope = rise/run The "rise" is the distance going up or down. The "run" is the distance goin

Calculate subsequent proportion, Calculate subsequent proportion: A re...

Calculate subsequent proportion: A recipe calls for 1(1/2) cups of flour to make servings for 6 people.  How much flour should be used to make servings for 4 people? Solut

Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1, Solve 4 sin 2 ( t ) - 3 sin ( t /...

Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1 . Solution Before solving this equation let's solve clearly unrelated equation. 4x 2 - 3x = 1  ⇒ 4x 2 - 3x -1 = ( 4x + 1) ( x

Give the introduction about graphing, Give the  introduction about Graphin...

Give the  introduction about Graphing? Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture: This picture is what's call

Algebra 1A, The m&m factory produces 2,500 packs of plain m&ms each day. R...

The m&m factory produces 2,500 packs of plain m&ms each day. Represent the total number of packs of plain m&ms the factory makes each day

Describe the types of triangles, Describe the Types of triangles ? Tria...

Describe the Types of triangles ? Triangles can be classified according to the lengths of the sides or the measures of the angles. 1. Naming triangles by sides An

3, LAST COST METHOD

LAST COST METHOD

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