Your financial planning company has a large database of clients. There is a 0.405 probability that a client has a 401k. There is a 0.188 probability a client has a Roth IRA. There is a 0.513 probability that a client has a 401K or a Roth IRA. What is the probability a client has both a 401K and a Roth IRA?

Your financial planning company has a large database of clients. There is a 0.405 probability that a client has a 401k. There is a 0.188 probability a client has a Roth IRA. There is a 0.513 probability that a client has a 401K or a Roth IRA. What is the probability a client has both a 401K and a Roth IRA?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees 15 children living in urban areas, what is the probability that 5 are obese? Enter response as .xxxx
You are the webmaster for your firm's website. From your records, you know that the probability that a visitor will buy something from your firm is 0.26. In one day, the number of visitors is 1050. If the visitors' traffic is more than the expected for the day, what is the probability that at least 10 more than the expected visitors will buy something from the firm?
Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the roll on the 6-sided die is strictly larger than both of the other two dice?
A salesperson plans to visit Alexandria, Butler, Clinton, Decatur, and Evansville on his business trip. Since he lives farthest from Evansville, he wants to visit that city last. If his boss randomly selects the order of all five cities to be visited, what is the probability that Evansville is last?
You are given the following information about events A, B, and C. • The probability of event A occurring is 0.5. • The probability of only event A occurring is 0.24. • Events B and C are mutually exclusive. • The probability of C occurring is 1.5 times the probability of B occurring. • The probability of none of the events occurring is 0.18. • The probability C occurring and A not occurring 0.17. Find the probability of event B NOT occurring. 0.699 0.791 0.722 0.768 0.745
Suppose that 35% of people own dogs. If you pick two people at random, what is the probability that they both own a dog?Give your answer as a decimal (to at least 3 places) or fraction
The probability that a doctor correctly diagnoses a particular illness is 0.60. Given that the doctor makes and incorrect diagnosis, the probability that the patient enters a law suit is 0.90. What is the probability that the doctor makes an incorrect diagnosis and the patient sues?
There are two urns, one containing a blue sock and the other a red sock. A person randomly picks a sock. After this, someone puts a red sock in the empty urn. The person again randomly picks a sock and it is the probability that the first sock was red?
. Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If a marble is drawn from each box, what is the probability that they are both of some color.
The probability that an applicant will be approved for a mortgage is 0.15. Each applicant has the same probability of being approved and the event that they are approved are independent. What is the probability that out of three applicants, exactly two of them get approved? Enter your answer as a decimal, with three decimal places. For example, if the probability is 15.37%, enter 0.154
Suppose that 51% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 41% end up investing in bonds, and 61% end up investing in stocks or bonds (or both). What is the probability that a person who inquires about investments at this firm will invest in both stocks and bonds? Write your answer as a decimal (not as a percentage).
your friend tells you she has 8 coins in her hand (just pennies, nickels, dimes and quarters). if you guess how many of each kind of coin she has, she will give them to you. if you guess randomly, what is the probability that you will be correct?