Probability questions, Mathematics

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

 

 

Posted Date: 7/23/2012 3:24:13 AM | Location : United States







Related Discussions:- Probability questions, Assignment Help, Ask Question on Probability questions, Get Answer, Expert's Help, Probability questions Discussions

Write discussion on Probability questions
Your posts are moderated
Related Questions
Method to determine solution is absolute minimum/maximum value Let's spend a little time discussing some methods for determining if our solution is in fact the absolute minimum



A firm is manufacturing 45,000 units of nuts. The probability of having a defective nut is 0.15 Compute the given i. The expected no. of defective nuts ii. The standard an

Graph f ( x ) = |x| Solution There actually isn't much to in this problem outside of reminding ourselves of what absolute value is. Remember again that the absolute value f

How do mensuration relate to the real life issues

1. Calculate the annual interest that you will receive on the described bond-A $500 Treasury bond with a current yield of 4 .2% that is quoted at 106 points? 2. Compute the tota


how can i build Y=2x

Illustration 2 In a described farm located in the UK the average salary of the employees is £ 3500 along with a standard deviation of £150 The similar firm has a local