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

Sequencing., how to select out time for m2

how to select out time for m2

Theorem, Theorem, from Definition of Derivative  If f(x) is differenti...

Theorem, from Definition of Derivative  If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a

Trigonmetry, How do I find a bearring using trig?

How do I find a bearring using trig?

Venn diagram, A venn diagram is a pictorial representation of the sam...

A venn diagram is a pictorial representation of the sample space of an experiment. It is usually drawn as a rectangular figure representing the sample space and it cont

Quadratic equations by completing the square method, Can we solve the Quadr...

Can we solve the Quadratic Equations by completing the square method? if yes explain it.

Probability, A man is known to speak truth 3 out of 4 times.He throws adi...

A man is known to speak truth 3 out of 4 times.He throws adie and reports it is a six. Find the probability that it is actually a six. Solution)  we can get a six if a man s

Rita, Calculate 50%

Calculate 50%

Explain combining negative signs in integers, Explain Combining Negative Si...

Explain Combining Negative Signs in integers? You've learned about positive and negative integers. BASICS :   When you place a negative sign in front of an integer, you get

What is conditional probability, Q. What is Conditional Probability? A...

Q. What is Conditional Probability? Ans. What is the probability that George will pass his math test if he studies? We can assume that the probabilities of George passing

Commercial arithmetic, if oranges are bought at the rate of 11 for rupees ...

if oranges are bought at the rate of 11 for rupees 10 and are sold at the rate of 10 for rupees 11, find the profit percent

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