Probability Flashcards
P always between
0 and 1
P’(A)
1-P(A)
Mutually Exclusive; Disjoint: think of a=the diagram (no overlapping circles)
If it is impossible for both to happen at the same time; P (A and B)=0
Independence
One event does not effect the other
P(A or B)
=P(A)+P(B)-P(A and B)
P A and B; when independent
P(A)*P(B)
P(A and B) dependent events
P(A|B)*P(B);
Binomial “exact”
Several tries of one event; doesn’t matter if I flip one coin five times or five coins one time; probability is usually given; number of trials is decided before hand; within those trials how many times does something happen;
p(getting exactly 2 fives)= (1/6)squared and 5/6eight* 10C2(different ways in which you can get two fives);
nCrP^r(1-p)^(n-r)
At least one
1-p(none)
Again does order matter?
Probability of choosing a 3 person committee with Alice and not Bob; 8 people
Den: 8C3
Num: A _ _; 6C2
Order here does not matter
When coins,dice, inanimate obj
Algebra rules
Mutually exc, indep, which rules
Algebra
Selection; which p rule to use
Counting technique