Basic Probability
Conditional Probability
Independence
Counting
100
Consider flipping two coins. What is the probability of getting two heads?
1/4 or 25%
100
A die is rolled. Given that it is odd, what is the probability that it is a 1 or 5?
2/3
100
Would you expect someone's age to be independent or dependent from their net worth? Why?
Answers vary.
100
How many passwords are there that are 8 characters long and only use lower-case letters?
288=377801998336
200
A card is randomly selected from a standard deck. What is the probability that it is a king?
1/13
200
A card is drawn at random from a standard deck. Given that the card is a face card, what is the probability that it is a jack?
1/4
200
Use the table below. Is gender independent or dependent from participating in after-school sports?
Independent
200
How many ways can a committee of 5 students be chosen from a group of 100?
100 choose 5 = 75287520
300
In a bag, there are 5 red balls and 7 black balls. What is the probability of getting a black ball?
7/12
300
Use the table below. Given that somebody likes vanilla, what is the probability that they are an adult?
54/92
300
Consider rolling a die. Is rolling a 4 dependent or independent from rolling an even number? Why?
Dependent
300
How many ways can 1st, 2nd, and 3rd place be awarded in a science competition containing 25 students.
25 P 3 = 13800
400
If the probability of an event happening is 70%, what is the probability of the event not happening?
30%
400
Use the table below. Given that somebody is a teen, what is the probability that they like chocolate?
12/73
400
Consider drawing a card at random from a standard deck. Is drawing a face card independent from drawing a diamond? Why?
Independent
400
Consider rolling 7 dice. How many ways are there to roll exactly four 3s.
7 C 4 * 5^3 = 4375
500
Who likes chocolate more- children or adults? How do you know?
Children
500
Consider the table below. If gender is independent from chocolate/vanilla preference, what entry would go in the cell labelled "?"
15
500
Consider rolling 6 dice. How many ways are there to roll so that you roll all the numbers 1 through 6?
6 * 5 * 4 * 3 * 2 * 1 = 720