4-4 part 2

Question 1

Define independent

Answer 1

the prob of one outcome happening will NOT be affected regardless of whether the other one happens

Independent if P(A) = P(A|B) or
P(B) = P(B|A)

Question 2

Define the Multiplication Law

Answer 2

• used to compute the prob of the intersection of 2 events
• based on the definition of conditional prob
• Need to know if it is dependent or independent

Question 3

What does with replacement mean (dependent or independent) ? and what formula is used?

Answer 3

independent
- b/c the prob of being chosen is the same every time

P(A and B) = P(A) x P(B)

Question 4

What does without replacement mean (dependent or independent) ? What is the formula you would use?

Answer 4

• Dependent
• b/c chances change with each selection

P(A and B) = P(A) x P(B|A) or
P(B) x P(A|B)