Determine whether two events are mutually exclusive or not:Answer (4% each):

a. Selecting a person with type B blood, at random.

Selecting a person with type A blood, at random.

b. Selecting a male student at random.

Selecting a senior student at random.

c. Rolling a die and getting an even number.

Rolling a die and getting a number > 5.

C is correct

State which events are independent and which are dependent: Answer (4% each):

d. Drawing a card from a deck and tossing a coin.

e. Drawing a ball from a urn, not replacing it and drawing another ball from a urn.

f. Purchasing a new home after you got a pay raise.

g. Driving on snow and being part of a car pile-up on the 401.

h. Being hung over from partying all night and getting a bad grade on a quiz the next day.

i. Loving Ravioli (Italian noodles, delicious!) and having a high IQ.

j. Driving a sports car and eating excessive amounts of ice cream.

Part 2 - Applying concepts. Calculating probabilities (remember to first determine whether the event is mutually exclusive (or not), or dependent vs. independent, then use the accurate formula)./ 60%

a. A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar, what is the probability that it is yellow or green? /10%

b. A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5?/10%

c. Two cards are selected from a standard deck of 52 cards with replacement (i.e. the card is drawn and then returned to the deck)./10%

- What is the probability that you will draw hearts and then a 9?

e. A coin is flipped and then a die is rolled. /10%

- Find the probability of getting a tail on the coin and a 3 on the die.

f. Discontented student workers. All graduate students from York University where polled and 65% of them stated that they were overqualified for their jobs. Of those who said they were overqualified, 40% were looking for a new job. What is the probability that a YorkU grad student feels overqualified for their job and is looking for a new job?

/20%