What is the probability you got an A given you studied?

What is the probability you get into an accident given you have insurance?

P (B | A ) = P ( A & B) P ( A )

12.2 Conditional Probability

P ( B | A ) = Probabilty of B, given A.

Shampoo is better. I clean the hair!

a) P (applies shampoo directly | female)

b) P( into hand)

c) P (into hand | male)

d) P ( male | into hand )

Making a tree diagram

of all snowfalls in Buffalo, 5% are heavy.

After a heavy snowfall, schools are closed 67% of the time.

After a light snowfall, schools are closed 3% of the time.

First branch simple probability.

Second branch conditional.

P( O | H ) = 0.33

P( Light and Open)

.95 * 0.97 = 0.92

AND = Multiplication

First branch simple probability.

Second branch conditional.

P( O | H ) = 0.33

P( Light and Open)

.95 * 0.97 = 0.92

AND = Multiplication

Pg. 657 Look at # 12

Problems to do:

pg. 656 #1-13 allpg. 659 #1-11 all