A | B |
Venn diagrams were developed by | mathematician John Venn and are used in set theory and symbolic logic |
In set theory, | the symbol U represents the union of two sets. |
A U B corresponds to | A or B |
The symbol ∩ represents | the intersection of two sets |
A ∩ B | corresponds to A and B |
Conditional Probability | the probability that an event B occurs after an event A has already occurred. |
Fundamental counting rule | The number of ways a sequence of n events can occur if the first event can occur in k1 ways, the second event can occur in k2 ways, etcs. |
Factorial Formula | For any counting n n!=n(n - 1) (n - 2) ...1 0! = 1 |
Permutation | an arrangement of n objects in a specific order |
Permutation Rule | The number of permutations of n objects taking r objects at a time (order is important) |
Combination | a selection of distinct objects without regard to order |
Combination rule | The number of combinations of r objects taken from n objects (order is not important) |
Factorial notation | uses the exclamation point |
Three rules to determine the number of all possible outcomes for a sequence of events | fundamental counting rule, permutation rule, and the combination rule |