Probablity

Question 1

What is C1?

Answer 1

P(B\A) = P(B) - P(AnB)

Question 2

What is C2?

Answer 2

P(\A)=1 - P(A)

Question 3

What is C3?

Answer 3

P(Ø) = 0

Question 4

What is C4?

Answer 4

P(A)≤1 ∀ A ⊆Ω

Question 5

What is C5?

Answer 5

If A⊆B then P(A) ≤ P(B)

Question 6

What is C6?

Answer 6

P(A∪B) = P(A) + P(B) - P(A∩B)

Question 7

What is a sigma algebra (F)?

Answer 7

A collection of subsets of Ω if (S1) Ω∈F, (S2) if A∈F then Ac∈F and (S3) if A1,A2,…∈F then ∪Ai ∈F

Question 8

What is the multiplication principle?

Answer 8

Suppose K choices are made where there are m1 possibilities for choice 1….mk possibilities for choice k, then the total number of selections is m1m2…mk

Question 9

How do you count ordered choice with replacement?

Answer 9

If selecting r objects from a collection of m distinct objects, total count is m^r

Question 10

How do you count ordered choice without replacement?

Answer 10

m!/(m-r)!

Question 11

How do you count unordered choice without replacement?

Answer 11

mCr

Question 12

How do you count ordered choice from 2 types of object?

Answer 12

m objects not all distinct, 2 types (r of one m-r of other), every object selected once, then choose the r positions for the first object using mCr

Question 13

How do you count ordered groupings of M indistinguishable objects into k groups?

Answer 13

(m+k-1)Cm