Political analysts estimate the probability that former New York Senator and former Secretary of State Hillary Clinton will run for president in 2016 is 45%, and the probability that New Jersey’s Governor Chris Christie will run as the Republican candidate is 20%. If their political decisions are independent, then what is the probability that only Hillary Clinton runs for president?  a 36%  b 11%  c 9%  d 45%

Internet Doctors: Assume that 55% of adults learn about medical symptoms more often from the Internet than from their doctor. a. Find the probability that three randomly selected adults all learn about medical symptoms more often from the Internet than from their doctor. b. Find the probability that when three adults are randomly selected, at least one of them learns about medical symptoms more often from the Internet than from their doctor.

The probability that a homeowner owns a Blu-ray player is 0.50. The probability that a homeowner owns a wide-screen TV is 0.20. If a homeowner owns a wide-screen TV, the probability that they own a Blu-ray player is 0.70. What is the chance that a randomly selected homeowner owns both a wide-screen TV and a Blu-ray player?

Charles has six songs on a playlist. Each song is by a different artist. The artists are Joey McIntyre, Whitney Houston, Aaron Carter, Shakira, Shania Twain, and Phil Collins. He programs his player to play the songs in a random order, without repetition. What is the probability that the first song is by Aaron Carter and the second song is by Joey McIntyre? Write your answer as a fraction or a decimal, rounded to four decimal places.   The probability that the first song is by Aaron Carter and the second song is by Joey McIntyre is    .

A company requires all job applicants to undergo drug testing for employment. If the applicant has used drugs the test has a 90% chance of a positive result. If the applicant has not used drugs the test has an 85% chance of a negative result. 4% of all applicants have used drugs. If an applicant has a positive test, what is the probability he or she has actually used drugs?

In one town, 81% of all voters are Democrat. If two voters are randomly selected for a survey, what is the probability that they are both Democrat

Alex, Natasha, and Juan fill orders in a fast-food restaurant. Alex incorrectly fills 20% of the orders he takes. Natasha incorrectly fills 12% of the orders she takes. Juan incorrectly fills 5% of the orders he takes. Alex fills 30% of all orders, Natasha fills 45% of all orders, and Juan fills 25% of all orders. An order has just been filled. A. If the order was filled by Juan, what is the probability that it was filled correctly? B. Who filled the order is unknown, but the order was filled incorrectly. What are the revised probabilities that Alex, Natasha, or Juan filled the order? C. Who filled the order is unknown, but the order was filled correctly. What are the revised probabilities that Alex, Natasha, or Juan filled the order?

In a given​ county, records show that of the registered​ voters,50%are​ Democrats,40%are​ Republicans, and 10 percent are Independents. In an​ election, 60%of the​ Democrats, 20 % of the​ Republicans, and 90%of the Independents voted in favor of a parks and recreation bond proposal. If a registered voter chosen at random is found to have voted in favor of the​ bond, what is the probability that the voter is a​ Republican? An​ Independent? A​ Democrat?