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Flashcards in Chapter 10 Deck (24):
1

Counting principle

Events * events* events

2

Finding number of Permutations

#!

3

Permutations of n objects taken r at a time

nPr= n!/(n-r)!

4

Permutations with repetition

n!/s1! * s2!....

5

Solving for n
nP6=5(nP5)

n!/(n-6)!=5(n!/n-5)!
(n-1 n-2....5)= 5(n-1...4)
n-5=5
n=10

6

Combinations of n objects taken r at a time

nCr= n!/(n-r)! *r!

7

When finding the number of ways both an event A AND event B can occur, you need to ---- their combinations

Multiply

8

When finding the number of ways that event A OR event B can occur, you --- their combinations

Add

9

The binomial Theorem

(A+b)n
nCr a^n-r b^r

10

Find the coefficient of in (a+b)^n

Use the nCr*a^n-r*b^r

11

Odds in favor

A/ not A

12

Odds against

Odds not A/ A

13

Experimental prob

A/ total trials

14

Geometric prob

Area what want to hit/ area of entire board

15

Prob of compound events p(b or a)

P(a)+p(b) -p(a and b)

16

Prob of disjoint events
P(a or b)

P(a) + p(b)

17

Probably Of complement

P(-a)
1-p(A)

18

Probability of independent events
P(a and B)

P(a)*p(b)

19

Probability of depending evens
P(a and b)

P(a) * p(b|a) (events in both over events in a)

20

P(b|a)

Probability of both/ a
Probability of b given that a
(Conditional probability)

21

Histogram

Percent or fraction on y
No spaces between bars

22

For binomial experiment, the probability of exactly k successes in n trials is

nCk*p^k*(1-p)^n-k

23

Right skewed

The tail at right
Everything to the left

24

Left skewed

Tail at left
Everything at right