Terms
Rules
Probability
Contingency Tables
Binomial Distributions
100
How many cards are in a deck? How many suits? How many per suit?
52 cards, 4 suits, 13 per suit
100
When you see the word OR (U) what do you do?
Add the probabilities
100
When drawing cards from a deck, what is the probability of drawing a Black Eight?
Say you just drew a Black Eight, and did not put it back in the deck, what is the probability that you would draw a face card?
Are these events independent or dependent of each other?
These events are dependent:
P(Black Eight) = 2/52
P(Face Card) = 4/51
100
Is a contingency table used for quantitative or qualitative? Give an example or explain your reasoning.
A contingency table is used for qualitative data. It's usually measuring two data sets and how they intersect.
100
A fair coin is tossed 5 times. What is the probability that it lands tails up exactly 3 times?
0.3125
200
Draw a Tree Diagram for flipping a coin three times
Refer to Slide One
200
When you see the word AND, what do you do?
You multiply the probabilities
200
A bag of jellybeans has 12 watermelon jellybeans, 63 sour apple jellybeans, 2 orange jellybeans and 10 cotton candy jellybeans. If you reach in and grab one jelly bean, what is the probability that it will be cotton candy flavored? Say you drew a cotton candy flavored, and put it back in the bag, what is the probability that you drew an orange flavored or watermelon flavored Jelly Bean? Independent or dependent?
P(cotton candy) = 10/87
P(orange or watermelon) = 14/87
Independent because the denominator did not change.
200
What is the probability that a business phone is not present?
What is the probability that given a business phone is present, the job title is not present?
a. 3171/5000
b. 931/3171
200
Experience has shown that 1/200 of all CDs produced by a certain machine are defective. If a quality control technician randomly tests twenty CDs, compute each of the following probabilities:
a) P(exactly one is defective)
b) P(exactly half are defective)
a. 0.0909
b. 1.72e-18
300
Give the difference between independent and dependent events. Provide an example.
Dependent events are when the previous outcomes effect the following outcomes, and independent events are the opposite. An example would be drawing a deck of cards. If a card is drawn and is not replaced, it is a dependent event. If a card is drawn and is replaced, then it is an independent event.
300
When thinking about the general and special multiplication rules, which is and isn't mutually exclusive?
General: not mutually exclusive
Special: mutually exclusive
300
Refer to slide two
SAFE ZONE: 7/12
UNSAFE ZONE: 5/12
300
a. What is the probability that given they are a humanities major, they are an expert?
b. Probability that someone is an interdisciplinary major and a beginner?
a. 19/64
b. 9/244
300
After studying a couple's family history, a doctor determines that the probability of any child born to this couple having a gene for disease X is 1 out of 4. If the couple has three children, what is the probability that exactly two of the children have the gene for disease X?
0.1406
400
Define Mutually Exclusive and Provide an example. Define non mutually exclusive and provide an example.
When two events cannot occur at the same time. For example, when you flip a coin, you cannot get both heads and tails.
The events can happen at the same time. An example would be when you roll a dice and want to get an odd number. There are multiple odd numbers on a dice.
400
Write out the general and special addition rule, and explain it in terms of a Venn diagram.
General: P(A) + P(B) - P(A and B), the Venn diagram would have the sides shaded in, but not the middle.
Special: P(A) + P(B), the Venn diagram would have the entire thing shaded in.
400
When drawing cards from a deck, what is the probability of drawing a red queen?
Say you just drew a red queen, and did not put it back in the deck, what is the probability that you would draw a red four or a black six?
Are these events independent or dependent of each other?
P(Red Queen) = 2/52
P(red four or black six)= 4/51
dependent
400
a. Probability that given someone wore a seat belt, they died in the car accident?
b. Probability that given someone survived, they did not wear a seatbelt?
a. 422/427302
b. 164872/591752
400
There are 10 members on a committee. The probability of any member attending a randomly chosen meeting is 0.9. The committee cannot do business if more than 3 members are absent. What is the probability that 7 or more members will be present on a given date?
500
What are the four conditions that must apply in order for a probability situation to be considered a binomial distribution?
Fixed number of trials
Independent trials
Two different classifications
The probability of success stays the same for all trials
500
Write out the rule for conditional probability, and explain it as if someone had never heard of statistics or probability before.
P(A|B) = P(A and B)/P(B)
Probability of A given that B already happened.
500
A bag contains 6 green marbles, 5 blue, and 9 red. You draw twice with replacement. What is the probability that you will draw a green marble and then a blue marble?
P(Green and Blue): 3/40
500
What is the probability that given they like poker, they like pizza rolls?
What is the probability that given they like pizza rolls, they like poker?
What is the probability that someone likes poker and pizza rolls?
a. 10/25
b. 10/44
c. 10/115
500
A student writes a five question multiple-choice quiz. Each question has four possible responses. The student guesses at random for each question. Calculate the probability for each possible score on the test from 0 to 5.
