Math

Compound Probability

100

 What is a compound probability?

The combination of two or more simple events.

200

What is a dependent event?

An event where the outcome of the first event affects the next event.

300

Formula for dependent events 

P(A and B)=P(A)*P(after A)

400

Flip a coin twice, What is the probability of getting  heads both times? 

P(heads)=1/2*1/2=

1/4=25%

500

A bag contains 3 red, 4 blue,, and 5 green marbles. If you randomly pick one marble, put it back, and then pick another marble, what is the probability of drawing a red marble followed by a blue marble?

P(red)= 3/12=1/4

P(blue)= 4/12=1/3

P(red and blue)= 1/12

Algebra 1

100

simplify (2x³) (3x²)

6x⁵

200

(3x+2x+4x) +(5-7)

9x-2

300

-4(2m+3p)

-8m-12p

400

Solve for x: 3x-7=11

3x-7=11

3x=18

x=6

500

solve the inequality 5x+3>18

5x>15

x>3

PEMDAS & Integers

100

-7+12

5

200

-15+(-8)

-23

300

-25*-8*(-1)

-200

400

15⁴

50625

500

(-2)³+6(-3)=

-26

Geometry

100

Find the perimeter of a rectangle with length of 8cm and 5cm

26cm

200

Area of a triangle with a base of 10cm  and height of 6cm.

30cm²

300

area of a Rhombus

A=1/2(d₁)(d₂)

400

Find the area of the circle with a diameter of 10cm (use 3.14)

A=3.14(r)²

A= 78.5cm²

500

What is the circumference of a circle with a radius of 7cm (use 3.14)

43.96cm

c=2(3.14)r

Probability

100

What is the difference between a histogram and a bar graph

Histograms group the data in ranges or bins

200

What are outcomes?

the possible results of an action

300

Formula for Probability 

P(event)= # of favorable outcomes/ # of possible outcomes

400

What is the probability of randomly picking a minivan?

Minivan 24

Scooter 8

wagon 17

suv 1

motorcycle 1

P(minivan)= 24/51

unlikely

500

There are 52 cards in a deck you want to find the probability of pulling a King

P(King)= 4/52

1/13 

unlikely