1. When... What... Why... Possibilities & Probability

2. Possible outcomes… Number of possible 5 digit passcodes, if each digit can be a numeral from 0 to 9, and no repetitions allowed. Number of possible 4 digit passcodes, if the first two digits can be a numeral from 0 to 29, and the last 2 digits are either a lower or uppercase letter, with no repetitions allowed. Number of 6 digit passcodes, if the first 3 digits can be one of 12 letters, with no repeats allowed, and the last 3 digits being a numeral from 0 to 9, with repeats allowed. Number of possible license plates if the 1 st digit can be a # from 1 to 9, the next 3 digits can be any capital letter from “A to Z” (repeats allowed), and the last 3 digits can be any number from 0 to 9 (repeats not allowed).

3. 8 out of 14 students seated in a row. First 3 students called from a group of 20. Four letters from the word “jagoe” arranged to form different passcodes. Number of possible 5 member groups selected from a group of 30. Groups of four letters from the word “jagoe”. Possible outcomes…

4. Possible pizza options if you can choose 1 of 3 crust options and 3 of 7 topping options. Number of possible 5 member groups containing 3 females and 2 males selected from a class of 15 females and 15 males. Number of possible 5 member groups selected from a class of 15 females and 15 males. A selection of 6 from a choice of 8 beads and arranged on a bracelet beginning at the clasp. Possible outcomes…

5. A bag contains 6 blue marbles, 5 green marbles, and 8 red marbles. How many ways can 4 blue, 2 green, and 3 red be chosen?. How many different ways can the letters of each word be arranged? 1.Zoobaloo 2.supercalifragilistic If there are 6 different routes that I can take from my home to South Meck High, and I use a different route for commuting to and from school, how many ways could I make the roundtrip?. Possible outcomes…

6. Doug has six rock CDs, eight classical CDs, and nine hip hop CDs. How many ways could he arrange these in his CD case? How many ways can 8 beads be arranged around a necklace that has no clasp? How many 6-digit street addresses can be made from the digits 8, 4, 3, 8, 7, 8? How many ways can a family of 7 be seated around a rectangular table? How many ways can a family of 7 be seated around a rectangular table with one person seated next to a window? Possible outcomes…

7. A bucket contains 6 purple, 4 magenta, and 3 teal colored ping pong balls. If three are selected at random, what is the probability of getting two purple and a teal? A kitchen drawer contains 6 spoons, 8 knives, and 11 forks. If four are selected at random, what is the probability of selecting 2 forks, 1 spoon, and 1 knife? Pebbles has 18 rocks, 6 of which are painted red, 5 blue, 4 green, and 3 yellow. If 5 are selected at random, what is the probability of getting 3 blue and 2 yellow?Probabilities…

8. The soccer team has 3 potential goalies, 5 fullbacks, 6 forwards, and 8 midfielders. What is the probability that a team of 11 would be made up of 1 goalie, 4 forwards, 3 midfielders, and 3 fullbacks? A team of 7 is being selected for competition. If the club has 9 female students and 12 male students, what is the probability of the team having 3 female members? A club has 15 student members and 3 teacher advisors. What is the probability that a team selected for competition will contain 5 students and 1 teacher?Probabilities…