Find the odds in favor of and against each event:

a)Rolling a die and getting a 2

b)Rolling a die and getting an even number

c)Drawing a card from a deck and getting a spade

d)Drawing a card and getting a red card

e)Drawing a card and getting a queen

f)Tossing two coins and getting two tails

g)Tossing two Odds coins and getting one tail

#12) A flashlight has 6 batteries, 2 of which are defective. If 2 are selected at random without replacement, find the probability that both are defective.

#20) Urn 1 contains 5 red balls and 3 black balls. Urn 2 contains 3 red balls and 1 black ball. Urn 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red.

#25) How many different ways can 4 tickets be selected from 50 tickets if each ticket wins a different prize?

#37) There are 7 women and 5 men in a department. How many ways can a committee of 4 people be selected? How many ways can this committee be selected if there must be 2 men and 2 women on the committee? How many ways can this committee be selected if there must be at least 2 women on the committee?

#55) An admission director knows that the probability a student will enroll after a campus visit is 0.55 or P(E)= 0.55. While students are on campus visits, interviews with professors are arranged.

The admission director computes these conditional probabilities for students enrolling after visiting three professors, DW, LP, MH

P(E|DW)=0.95 P(E|LP)=0.55P(E|MH)= 0.15

Is there something wrong with these numbers? Explain.