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Breakfast for GlennGlenn 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.
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?
2. What is the probability that both horses will lose their respective races?
1. What is the probability that both horses will win their respective races?
3. What is the probability that at least one horse will win a race?
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.
Create the sample space if you roll a pair of 6sided dice.
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?
If events A and B cannot happen at the same time, they are said to be mutually exclusive.
A
B
P(A and B) = 0
P(A or B) = P(A) + P(B)
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
A 13456 7 8910
J
2KS
Q
KHKDKC
A B
So the probability of drawing either a king or a spade is:
P(A) + P(B) P(A and B)P(A or B) =
Sample Space
Not Mutually Exclusive
Identify the events as:
e. Rolling two dice and getting an even sum or a double.
d. One card a red king or a black queen is randomly drawn from a deck of cards.
c. A class president and a class treasurer are randomly selected from a group of 16 students.
b. One card a red card or a king is randomly drawn from a deck of cards.
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 exclusivemutually exclusive orDropand
Drag
not mutually exclusive
mutually exclusive
mutually exclusive
not mutually exclusive
not mutually exclusive
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