Calculate the probability. There are 2 mystery books, 2 romance books, and 2 poetry books to be randomly placed on a shelf. What is the probability that the mystery books are next to each other, the romance books are next to each other, and the poetry books are next to each other? 8. What is the probability that a random arrangement of the letters in the word APPLE will have the two P's next to each other? A bag contains 9 tiles, each with a different number from 1 to 9. You choose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. What is the probability that you choose tiles with the numbers 1, 2, and 3 in that order? There are 11 students on a committee. To decide which 3 of these students will attend a conference, 3 names are chosen at random by pulling names one at a time from a hat. What is the probability that Sarah, Jamal, and Mai are chosen in any order? A clerk has 4 different letters that need to go in 4 different envelopes. The clerk places one letter in each envelope at random. What is the probability that all 4 letters are placed in the correct envelopes? 7. A swim coach randomly selects 3 swimmers from a team of 8 to swim in a heat. What is the probability that she will choose the three strongest swimmers? 8. How many different sequences of letters can be formed using all the letters in ENVELOPE? Yolanda has 3 each of red, blue, and green marbles. How many possible ways can the 9 marbles be arranged in a row