The probability of getting this right is....
The result of an experiment is....
An outcome
EVENT A: Rolling a two on a single six-sided die
EVENT B: Rolling a six on a single six-sided die
Mutually exclusive!
You cannot role a six and a two on a single roll
Flipping a coin twice
Independent!
Getting heads on the first flip does not change the probability of getting heads on the second flip.
The complement of getting tails on a coin flip.
Getting heads on a coin flip.
The sample space when you flip a coin.
H; T
The numbers that a probability can fall between...
0 and 1
or 0% and 100%
EVENT A: Getting a card with an odd number
EVENT B: Getting a card with a black suit
Not mutually exclusive!
You can get a card that is both a black card and an odd number.
You pull an ace out of a deck of cards. You put it back, and then pull another ace out of the deck.
Independent!
Because you put the card back, the probability of getting an ace on that second draw remained the same.
The complement of drawing a card with a Heart.
Drawing a non-heart card (spades, clubs, diamonds)
The sample space of rolling a six-sided die
1, 2, 3, 4, 5, 6
"With replacement" and "without replacement" signifies...
The act of making an event either independent (with replacement) or dependent (without replacement)
EVENT A: Taking the freeway to work
EVENT B: Taking the back roads to work
Mutually exclusive!
You cannot take both the freeway and the back roads at the same time
In a PE class, I chose Gerald to be on my team. Then, I choose Cassie.
Dependent!
Once I chose Gerald, I have one less person to choose from, which increases the probability of being chosen.
The complement of getting a goal in a soccer game.
Not getting a goal in a soccer game.
The sample space of the sexes of three children
MMM; FFF; MMF; FFM; MFF; FMM; MFM; FMF
Mutually exclusive events are...
Two events that cannot occur at the same time
EVENT A: Jackie committed the murder
EVENT B: Shauna committed the murder
Not mutually exclusive!
The murder could have been committed by both Jackie and Shauna at the same time
EVENT A: Ordering a burger
EVENT B: Ordering a taco
Independent!
Me ordering a burger does not change the probability of me ordering a taco.
The complement of pulling at least 1 man out of a group.
Pulling zero men out of a group
The sample space when parent A has blue eyes (bb) and parent B has brown eyes (Bb)
Think punnet squares
Bb; Bb; bb; bb
The law of large numbers states....
As you repeat an experiment more, the probability becomes closer to the true value.
EVENT A: a person's age being an even number
EVENT B: a person's age being a prime number
Not mutually exclusive!
Although it is mutually exclusive for most numbers, the number 2 is both even and prime.
I have a box of 30 chocolates, 15 truffles and 6 caramels. I pull out a chocolate, eat it, and then I pull out a truffle.
Dependent!
Since I took a chocolate out, that decreased the number of total candies in the box, which then increased the probability of me getting a truffle.
The way to calculate the complement of the probability of 1/7 or P(A).
P(A') = 1-P(A)
P(A') = 1-(1/7) = 6/7
The sample size of meals when you have 3 appetizers (Meatballs, Wings and Nachos), 4 entrees (Steak, Pasta, Fish and Lasagna) and 2 drinks (Pepsi, coke, root beer, beer and tea)
Meatballs, Steak, Soda
Meatballs, Pasta, Soda
Meatballs, Fish, Soda
Meatballs, Lasagna, Soda
Wings, Steak, Soda
Wings, Pasta, Soda
Wings, Fish, Soda
Wings, Lasagna, Soda
Nachos, Steak, Soda
Nachos, Pasta, Soda
Nachos, Fish, Soda
Nachos, Lasagna, Soda
Meatballs, Steak, Alcohol
Meatballs, Pasta, Alcohol
Meatballs, Fish, Alcohol
Meatballs, Lasagna, Alcohol
Wings, Steak, Alcohol
Wings, Pasta, Alcohol
Wings, Fish, Alcohol
Wings, Lasagna, Alcohol
Nachos, Steak, Alcohol
Nachos, Pasta, Alcohol
Nachos, Fish, Alcohol
Nachos, Lasagna, Alcohol