Combine and Permute
Probably Probability
Squares, Roots, Rotations, and an Old Greek.
All about Libra
It's the same picture!
100
How many different ways are there to arrange 4 people in a row?
4 x 3 x 2 x 1 = 24
100
What is the probability that you pick a green ball from a bag containing 4 green balls and 4 red balls?
½ or 50%
100
How many degrees must this shape be rotated before you get the same shape again?
360/5 = 72º
100
You are drawing a picture of famous basketball player Michael Jordan (height: 198 cm). You make your drawing 16,5 cm high. What scale did you make your drawing in?
1:12
100
Find x
x = 9
200
I have 6 books at home. How many ways can I give my three best friends a book?
6 x 5 x 4 = 120
200
What is the probability that you draw two green balls in a row from a bag containing 4 green balls and 4 red balls (not replacing the balls)?
½ x 3/7 = 3/14 or 21.4%
200
sqrt(80)/sqrt(5)=
4
200
Find the volume of shape B. (note: m2 should be m3)
4800 m3
200
Find the length of x.
7.5 cm
300
How many four digit phone codes can I make if the first two numbers need to be the same, but all the others need to be different.
10x1x9x8 = 720
300
The probability that it will rain each of the next three days is 40%. What is the probability that it will rain at least one of these days?
1 - (0.6)3 = 1 - 0,216 = 78.4%
300
How far is it across this square?
17.2
300
5400 cm3
300
Find the missing length EG
EG = 42 cm
400
How many different 5 card hands are possible given a standard 52-card deck?
(52*51*50*49*48)/(5*4*3*2*1)
2 598 960
400
On a 10 question multiple choice test with 2 options for each question, what is the probability that you get 100% by guessing each answer?
50%
lol jk.
(½)10 = 1/1024 = 0,098%
400
(√16 + √9)2=
49
400
Find the area of shape A
20 cm2
400
Find the length of CE.
CE = 3
500
How many ways are there to line up 6 people if 3 of them need to be standing next to eachother?
4 x 3! x 3! = 144
500
What is more probable?
1. Drawing 5 card hand with at least 1 face card (J, Q, K, A) from a standard deck of 52 cards
-or-
2. Guessing all questions correctly on a yes/no quiz with 3 questions?
Drawing at least one face card (85,5%). Guessing correctly is 12,5%.
500
In a right angled triangle the base is 3x, and the height is 4x. The diagonal is 60 cm. How long are the two unknown sides?
36 & 48 cm.
500
The volume of two similar rectangular prisms are 8000 cm3 and 4096 cm3. The front side of the larger prism is 800 cm2. How large is the front side of the smaller prism?
LS = 4:5
512 cm2
500
Solve for x & y.
x = 17,1
y = 26,25