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.
The part that comes after the given that is your ________________.
a) Numerator b) Denominator
Denominator
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.
Using the vehicle table provided on a separate tab, find the probability that the vehicle chosen is a new vehicle.
P(New vehicle) = 170/300
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 that I draw two cards, the first being a red card and the second being a 2- card, WITH REPLACEMENT?
P(Red and 2) = (26/52)(4/52) = 1/26
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)
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 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.
What is the probability that I draw two cards, the first being a red card and the second being a black 2- card, WITHOUT REPLACEMENT?
P(Red and 2) = (26/52)(2/51) = 1/51
True or False: Pi can be written as a fraction. EXPLAIN.
pi
False, it can't be written as a fraction because it is an irrational number!
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 probability of drawing 1 Heart or 1 red card?
P(1 Heart or 1 red) = (13/52) + (26/52) - (2/52) = 37/52.
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.
What is my room number?
146
Using the vehicle table provided on a separate tab, find the probability that a vehicle chosen is truck GIVEN THAT is new.
P(Truck | New) = 38/170