In a small town there are three competing lawn service companies, A, B, and C. Each has a certain probability of being selected by a customer: A has probability of 0.4, B of 0.3, and C of 0.3. In a certain day three customers decided to sign up for lawn service contracts. What is the probability that one company gets all three customers?

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    .

Fred has 4 place settings consisting of a dinner​ plate, a salad​ plate, and a bowl. Each setting is a different color. If Fred randomly selects a dinner​ plate, a salad​ plate, and a​ bowl, what is the probability that they all have different​ colors?     The probability is

Four hundred fifty of the six thousand students at Ocean State College like math, three thousand five-hundred like English, and three hundred like both. What is the probability that one student, chosen at random, likes math or English?

Michael is to randomly pick between two jars that contain coins.  The first jar contains 2 pennies, 3 nickels, and 5 dimes. The second jar contains 7 pennies, 3 nickels, and 4 dimes. After a jar is selected, a coin is then picked from that jar. If the selected coin is a nickel, what is the probability that it came from the second jar?