2. Breakfast for Glenn
Glenn has either milk or cocoa to drink for breakfast with either oatmeal
or pancakes. If he drinks milk, then the probability that he is having
pancakes with the milk is 2/3. The probability that he drinks cocoa is
1/5. If he drinks cocoa, the probability of him having pancakes is 6/7.
a) Show the sample space of probabilities using a tree diagram or any
other method of your choice.
b) Find the probability that Glenn will have oatmeal with cocoa
tomorrow morning.

3. The probability that Dog Food will win the first race is 2/5 and that
Second Chance will win the second race is 1/3.
1. What is the probability that both horses will win their respective
races?
2. What is the probability that both horses will lose their
respective races?
3. What is the probability that at least one horse will win a race?

4. The probability that Dog Food will win the first race is 2/5 and that
Second Chance will win the second race is 1/3.
3. What is the probability that at least one horse will win a race?

6. Create the sample space if you roll a pair of 6­sided dice.

7. Determine the following probabilities:
P(A) the sum of the two dice is 5
P(B) the sum of the two dice is 8.
Can P(A) and P(B) happen at the same time?

8. If events A and B cannot happen at the same time, they are said to
be mutually exclusive.
B
A
P(A and B) = 0
P(A or B) = P(A) + P(B)

9. Find the probability of drawing either a king or a spade in a single
draw from a pack of 52 playing cards.
P(A) = Pking P(B) = Pspade

10. A KH 2 B
Sample Space A 134
KD KS 6 5 7 8
KC J
10 9 Q
Not Mutually Exclusive
So the probability of drawing either a king or a spade is:
P(A or B) = P(A) + P(B) ­ P(A and B)

11. Identify the events as: and
Drag Drop
mutually exclusive or not mutually exclusive
a. A bag contains four red and seven black marbles. The event is
randomly selecting a red marble from the bag, returning it to the bag,
and then randomly selecting another red marble from the bag.
not mutually exclusive
b. One card ­ a red card or a king ­ is randomly drawn from a
deck of cards.
not mutually exclusive
c. A class president and a class treasurer are randomly selected
from a group of 16 students. mutually exclusive
d. One card ­ a red king or a black queen ­ is randomly drawn
from a deck of cards. mutually exclusive
e. Rolling two dice and getting an even sum or a double.
not mutually exclusive

12. Page 37
Questions 1 ­ 8