Probability
What is a Tree diagram
represents probability of multiple events
What is the exact value of the Hypotenuse of a triangle with an angle of 45 degrees?
Square Root of 2.
Are unit circles measured clockwise or anticlockwise?
Anti Clockwise
what’s 2x2x2?
8
how many states and territories does Australia have?
8
What is conditional probability
the probability of an event GIVEN another event has already occurred
What is the formula for Pythagoras Theorem?
C2= A2 + B2
what does CAST stand for?
Cos positive, All positive, Sin positive, Tan positive
what is a factorial?
the product of a given number multiplied by all positive and whole numbers less than it.
what colour is the sky?
blue..
Where is the value for the amount of people who fit NEITHER categories located in a Venn diagram?
Bottom right corner, underneath the circles.
what are the formulas for Sin, Cos, and Tan?
Sin = Opp/Hyp
Cos= Adj/Hyp
Tan= Opp/Adj
what sections of the unit circle would the angles for ‘sin(x)=-1’ be in?
Cos positive and Tan positive.
what is multiplicative principle?
Calculating all possibilities from a set of numbers or letters.
Who is the prime minister of australia?
Anthony Albanese
What is the formula for calculating conditional probability?
P(A and B)/P(B)
True or False:
Angle of Elevation is NOT equal to angle of depression.
False.
Sin (x) = √3/2
Using unit circles, find all possible angles between 0 and 360 degrees.
Sin60 = 60, 120.
What is the formula for calculating probability using factorials?
P= n!/ (n-r)!
What genre of music are ‘The Dresden Dolls’?
Punk Cabaret
If P(A)=0.5, P(B)= 0.6, and P(A and B)=0.3…
Find P(A given B)
P(A and B)/ P(B)
0.3/0.6
= 0.5
The competitors of a cross country run are nearing the end of the track. From a lookout 100m above, the angles of depression to the two leaders, Nathan and Rachel, are 40 degrees and 62 degrees respectively. How far apart are Nathan and Rachel?
66m
Cos (x) = -1/2
Using unit circle, find all possible angles between 0 and 360.
Cos (45) = 120, 240.
all passwords to a website consist of any four digits, which can be lower case letters, or the numbers from 0-9. how many possible outcomes are there?
1,413,720
who is the author of the book “White Nights” ?
Fydor Dostoevsky