Unit 5 Probability Flashcards
Disjoint
Two events are disjoint when one or the other event can happen, but NOT both.
Mutually Exclusive
Disjoint
Probability is always a number between…
0 and 1
Probability of at least one =
1 - P(None)
Are A and B disjoint events? Why or why not?
No, because there is a middle which represents the probability of both A and B happening.
What does the shaded area represent?
P(P and Q)
What does the shaded area represent?
P(P or Q)
What does the shaded area represent?
P(Q and not P)
Independent Events
2 events are independent if one event does not influence or affect the outcome of the other event in any way.
How do you find P(A or B)?
P(A) + (B) - P(A and B)
add and subtract the middle
If 2 events A and B are independent, how can we find the middle, P(A and B)?
Multiply P(A) times P(B)
If 2 events A and B are disjoint, how can we find the middle, P(A and B)?
P(A and B) will always be 0, because there is not overlap in disjoint events.
How do we check for independence on a segmented bar chart?
Bars are different = dependent
Bars are the same = independent
How do we check for independence in a contigency table?
Ratios in and outside of table are the same = independent.
Ratios different = dependent