Probability

Rolling a Set of Dice - probability of the sums of the two die

Formula = 6 different outcomes with 2 dice = 6^2 = 6* 6 = 36

https://www.math.upenn.edu/~deturck/m170/wk7/lecture/basicprob.html

Rolling Dice are Independent - the first Dice is INDEPENDENT from the second Die

Each roll of the Dice is an independent event because the dice can't change.

Selecting Marbles from a bag - COULD be INDEPENDENT IF you "put the marbles back in that you selected" so you have the same amount and/or colors that you selected from initially.

Selecting Marbles from a bag IS DEPENDANT IF you "Don't put the marbles back" and select again.

TRUTH TABLES - https://www.youtube.com/watch?v=Up2QP7cTp

P = You Study for Tests

Q = You Get a Good Grade

Three Dots = THEREFORE

~p = You did NOT study for the Text

~q = You did NOT get a good grade

The symbolic form would be:

Truth Table

Venn Diagram

Set Theory

I like the way Math is Fun explains the Set Theory Symbols and gives good explinations https://www.mathsisfun.com/sets/symbols.html

A u B = Union = OR = in A or in B (this will be a larger set in most cases)

A n B = Intersection = AND = everything in A must also be in B