Counting concepts
If Sean is picking a baseball uniform and has 3 styles of pants, 5 styles of shirts, and 4 styles of caps, how do you find the total number of different uniform combinations?
3⋅5⋅4=60 ways
In a perfect world, if you flip a coin 10 times, you should get 5 heads. What kind of probability is this?
Theoretical Probability.
If you draw a card from a deck, put it back (with replacement), and draw a second card, are these two events Independent or Dependent?
Independent the first card didn't change the deck for the second draw
What does the vertical line symbol mean when you read the notation P(B|A)?
It means "Given" (Probability of B, given that A already happened).
Can a single playing card drawn from a deck be a King and a Queen at the exact same time? What do we call this type of event?
No, it cannot. This is called a Mutually Exclusive event.
In which type of counting problem does the order of the items matter: a Permutation or a Combination?
Permutation (remember: Permutation = Position matters).
A jar has 50 Red, 20 White, and 30 Blue marbles (100 total). What is the probability of picking a marble that is NOTWhite?
80%
If you draw a Diamond from a 52-card deck and keep it out (without replacement), what happens to the total number of cards in the deck for your next draw?
It drops from 52 cards down to 51 cards (making the next draw Dependent
Looking at your survey table, there are 13 total Females. If 6 of them own a pet, what is P(Own a pet ∣ Female)?
6/13 (You ignore the males completely and only look at the 13 females).
When calculating the probability of drawing a Queen OR a Heart, why do you have to subtract the Queen of Hearts at the end?
To avoid double-counting it (since it belongs to both the Queen group and the Heart group).