8340736451 | Fundamental Counting Principal | "How many ways?" | 0 | |
8340736452 | Fundamental Counting Principal | certain procedure (P) can be broken into a number (n) of successive ordered stages - S subscript r = n ways | 1 | |
8340736453 | permutation | An r-permutation of a set of n elements is an ORDERED selection of r elements from the set of n elements (Hint: If the things being chosen will do (or have done to them) different things, it's a permutation.) | 2 | |
8340736454 | permutation key words | officers, place, arranged, line up | 3 | |
8340736455 | permutation formula | ![]() | 4 | |
8340736456 | combination | The number of combinations of n elements taken at r at a time; ORDER DOES NOT MATTER (Hint: If the things being chosen are going to do (or have done to them) the same thing, it's a combination) | 5 | |
8340736457 | combination key words | team, group, commitee | 6 | |
8340736458 | combination formula | ![]() | 7 | |
8340736459 | sample space | the collection of all possible outcomes of a chance experiment (Example: roll a die, S={1, 2, 3, 4, 5, 6} | 8 | |
8340736460 | event | any collection of outcomes from the sample space (Example: roll prime numbers, E={2,3,5} | 9 | |
8340736461 | complement | consists of all outcomes that are not in the event (Example: E super c ={1,4,6} | 10 | |
8340736462 | Union | the event A or B happening and consists of all outcomes that are in at least one of the 2 events (Example: rolling a prime number or even number E= A U B {2, 3, 4,5,6} | 11 | |
8340736463 | Interesection | the event A and (think "overlap") B happening and consists of all outcomes that are in both events (example: drawing a red card and a 2, E={2 hearts, 2 diamonds} | 12 | |
8340736464 | Mutually Exclusive (disjointed) | two events that have no outcomes in common (Example: Roll a 2 or a 5 (with one die)) | 13 | |
8340736465 | Venn Diagrams | used to display relationships between events, helpful in calculating probabilities | 14 | |
8340736466 | probability | denoted by P(Event), =favorable outcomes/total outcomes (Note: this method for calculating probabilities is only appropriate when the outcomes of the sample are equally likely (not weighted)) | 15 | |
8340736467 | experimental probability | the relative frequency at which a chance experiment occurs | 16 | |
8340736468 | law of large numbers | As the number of repetitions of a chance experiment increase, the difference between relative frequency of occurrence for an event and the true probability approaches zero | 17 | |
8340736469 | Rule 1 | Legitimate Values; For any event (E),, 0<=P(E)<=1 | 18 | |
8340736470 | Rule 2 | Sample Space; If S is the sample space, P(S)=1 | 19 | |
8340736471 | Rule 3 | Complement; For any event E, P(E) + P(not E) =1 | 20 | |
8340736472 | Rule 4 | Addition; If two events M & N are disjoint, P(M or N)=P(M)+P(N) (General) If two events M&N are not disjoint, (i.e. they intersect) P(M or N) = P(M)+P(N)-P(M and N) | 21 | |
8340736473 | Rule 5 | Multiplication; If two events A & B are independent, P(A) * P(B|A) | 22 | |
8340736474 | Rule 6 | At least one; The probability that at least one outcome happens is one minus the outcome the nonrof it happens P>=1 = P(1-none) | 23 | |
8340736475 | Rule 7 | Conditional Probability; a probability that takes into account a given condition, P(B|A) =P(A intersection B)/P(A) | 24 | |
8340736476 | Independent | 2 events are independent if knowing that one will occur (or has occurred) does not change the probability that the other occurs; P(B|A) = P(B); P intersection B=P(A)*P(B); P(A|not B)=P(A) | 25 | |
8340736477 | If two events are independent, then the probability that both occur is... | ...the product of the probabilities of each event | 26 | |
8340736478 | If A and B are mutually exclusive (note: P(A)>0 and P(B)>0)... | ...then they are dependent events | 27 | |
8340736479 | Classical Probability versus Relative Frequency | Classical: the calculation of a probability consists of dividing the number of outcomes that make up an event by the sample space Relative Frequency: P(Event) is defined to be the value approached by the relative frequency of occurrence of the event in a very long series of trials of a chance experiment | 28 |
AP Statistics Probability Flashcards
Primary tabs
Need Help?
We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.
For general help, questions, and suggestions, try our dedicated support forums.
If you need to contact the Course-Notes.Org web experience team, please use our contact form.
Need Notes?
While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!