Set of cards has a total of 36 cards: 9 numbered cards (1-9) of each color: red, blue, green and yellow.

1. If a card is selected at random, what is the probability that the card is red?
2. If a card is selected at random, what is the probability that it is red, given that the number of the card is 4?
3. Are the events E="the card selected is red" and F="the card selected is a 4" independent? Why?

A basketball player has a 78% chance of scoring each free-throw. Assume that the probability that he scores a point in each throw is independent form the last one(s). What is the probability that he misses at least one of his next 5 free-throws?

A teacher asked the students in two if his classes about which sport were they more excited to see live next season. The answers are compiled in the table below:

1. If a student is selected at random, what is the probability that the student answered Football, given that the student was more than 37 years old?
2. If a student is selected at random, what is the probability that the student is between 25-30 years old, given that the student answered Hockey?

	Baseball	Football	Soccer	Hockey	Total
19-24 years old	3	2	10	5	20
25-30 years old	0	5	5	3	13
31-37 years old	5	12	3	4	24
More than 37 years old	8	10	8	3	29
Total	16	29	26	15	86