The Two "Ors"
Describe the difference between mutually exclusive and overlapping events.
Mutually exclusive- Two events that CANNOT occur at the same time.
Overlapping- Two events that share possible outcomes/can happen at the same time.
Describe the difference between independent events and dependent events.
Independent events- Events that have no impact on one another.
Dependent events- Events that do impact the probabilities of other events.
Parallel lines have slopes that are ___________, while perpendicular lines have slopes that are __________.
Same/equal; Opposite reciprocals.
What is my room number?
146
Given U = {1,2,3,4,5,6} A = {1,2,3} B = {2,3,4} C = {1,5}, find A ∪ B.
A ∪ B = {1, 2, 3, 4}
What is the probability of drawing 1 Ace OR 1 Queen?
P(1 A or 1 Q) = (4/52) + (4/52) = 8/52 = 2/13.
What is the probability of drawing 1 King AND 1 Ace card out of a standard deck of cards?
P(1 K and 1 A) = (4/52)(4/52) = 16/2704 = 1/169.
List three of the five triangle congruence theorems.
SSS, SAS, ASA, AAS, HL.
How many years has Mr. Hines worked at Maple?
2 years.
Given U = {1,2,3,4,5,6} A = {1,2,3} B = {2,3,4} C = {1,5}, find B ∪ C.
B ∪ C = { 1, 2, 3, 4, 5}
What is the probability of drawing 1 red OR 1 Jack out of a standard deck of cards? Hint: Is there any overlap?
P(1 red or 1 J) = (26/52) + (4/52) - (2/52) = 28/52 = 7/13.
What is the probability of drawing 1 5-card, 1 4-card, 1 3-card, 1 2-card, and ANOTHER 2-card from a standard deck of cards WITHOUT REPLACEMENT?
P(5 and 4 and 3 and 2 and 2) = (4/52)(4/51)(4/50)(4/49)(3/48) = 768/311875200.
Given A = (3, -4) and B = (-6, 10), translate each point LEFT 3 units and DOWN 10 units. Find A' and B'.
A' = (0, -14)
B' = (-9, 0)
What are my office hours?
Wednesday 8:00- 10:00 and 12:30- 2:15.
Given U = {1,2,3,4,5,6} A = {1,2,3} B = {2,3,4} C = {1,5}, find A ∩ B.
A ∩ B = {2, 3}
What is the probability of drawing 1 red OR 1 black card out of a standard deck of cards?
P(1 black or 1 red) = (26/52) + (26/52) = 52/52 = 1.
Using the vehicle table provided on a separate tab, find the probability that a vehicle chosen is leased GIVEN THAT it is an SUV.
P(Leased | SUV) = 12/50.
What is the standard form for an equation of a circle?
(x - h)^2 + (y - k)^2 = r^2
How do you simplify fractions in calculators?
MATH --> FRAC
Given U = {1,2,3,4,5,6} A = {1,2,3} B = {2,3,4} C = {1,5}, find A ∩ C.
A ∩ C = {1}
What is the probability of drawing 1 Heart or 1 red card?
P(1 Heart or 1 red) = (13/52) + (26/52) - (2/52) = 37/52.
Using the vehicle table provided on a separate tab, find the probability that a vehicle chosen is a car GIVEN THAT is was used.
P(Car | Used) = 29/78.
What is the property that says any number is equal to itself (i.e. 1 = 1, 980 = 980).
Reflexive property.
Name three different topics that we have discussed this year (EXCLUDING probability).
Slopes of lines, angle relationships, triangle congruence, triangle similarity, proofs, volume, circles.
Given U = {1,2,3,4,5,6} A = {1,2,3} B = {2,3,4} C = {1,5}, find B ∩ C.
B ∩ C DNE.