Basic Probability Concepts
Conditional Probability
OR what?
That's a Fact-orial
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100
The result of a single trial of a probability experiment
What is an outcome
100

You are picking up five cards to begin a poker game. If you already have the five of hearts, the six of hearts and the seven of hearts in your hand, this is the probability that you will pick up the eight of hearts next.

What is 1 out of 49 or 2%

100
This is the formula for P(A or B)
What is P(A) +P(B) - P(A and B)
100
How many ways can 17 students be arranged in a classroom?
What is 17! = 3.557 * 10^14 or 355.7 trillion
100
This is the formula for P(A and B) assuming A and B are not independent.
What is P(A) * P(B|A)
200
A probability that in determined based on observation
What is an Empirical probability
200
In the probability notation P(A|B) it is assumed that this has already happened.
What is event B
200
The vocabulary word(s) used to describe two events for which P(A and B) = 0
What is mutually exclusive
200
If the order in which items are picked does not matter we call the number of possible arrangements the total number of this.
What is combinations
200
In a given town there is an 82% chance that someone who robs a bank will get caught. If three banks have been robbed in the past 10 years, what is the probability that all three robbers were caught?
What is .82 * .82 * .82 = .551 or 55.1%
300

The number of outcomes in the sample space if you are buying a popcorn chicken bites and must choose one of two sizes, one of 6 sauces or no sauce, and whether you want them spicy or mild.

What is 28.

2 sizes * 7 sauce options * 2 spice options

300
In the notation P(A|B) the line between A and B is read as this word
What is "given"
300
Boy Girl Yes 14 35 No 10 12 Based on this table, this is the value of P(Boy or No)
What is 36/71 or 50.7%
300
the product 104 * 103 * 102 * 101 * ... * 31 * 30 can be calculated by dividing these two factorials.
What are 104! by 29!
300
If we know Jack has $$ and has four cars in his garage, the compliment of "Jack has only European cars" is this.
What is "Jack has at least one car that is not European."
400
How many social security numbers can be made that start with the same three digits as yours and end with two even digits?
What is 250,000
400
Boy Girl Yes 14 35 No 10 12 Based on this table, this is the value of P(Boy|No)
What is 10/22 or 45.5%
400
There were 18 students in an algebra 2 class. 10 students were male. 9 students got A's. 6 male students got A's. This is the probability of randomly picking an algebra 2 student who is male OR got an A.
What is 10/18 + 9/18 - 6/18 = 13/18 = .772 or 77.2%
400
The letters from the word "obstreperous" are placed in a bag and three letters are then randomly pulled out. This is the probability that the letters are pulled in order to spell s-t-o-p.
What is 2/12 * 1/11 * 2/10 * 1/9 = 4/11880 = .0003 or .03%
400
This is the formula for P(A and B) assuming A and B ARE independent.
What is P(A) * P(B)
500

What is the probability that a telemarketer will call your phone number if their computer generates a random number with a your area code?

What is one in ten million or 1 * 10^-7

500

If A and B are independent, the value of this will be equal to P(A|B) this.

P(A)

500

A baby is about to be born and the doctor states that it has a 45.7% chance of being a boy or being color blind. If 4.5% of the population is color blind and 1 in 12 males are colorblind, this is the probability that the baby is a boy (aka the % of the population that is male). Round to three decimal places

What is 49.5%

500
To calculate the number of possible three number codes for the combination lock on a random locker you would calculate this assuming the lock has the digits form 0 to 35 on it.
What is 36 P 3 or 36!/(36-3)!
500
to secure the cover on a swimming pool it is lined with water filled bags. 3 of the 15 bags Ms. J purchased last year had holes in them. what is the probability that if the pool company randomly grabs 10 of those bags at least 2 of them have holes.
What is 4/455 = .009 or .9%
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