Coins & Dice
Order
Odds & Probability
Poker
Seating & Counting
100
What is the complete sample space when flipping two fair coins?
What is {hh,ht,tt,th}?
100
In a class of 33 students, four are randomly chosen in order to give presentations. What is the total amount of ordered selections?
What is 33P4 = 982,080?
100
If a single card is drawn from a standard $52$-card deck, what is the probability of drawing a card that is not an ace?
What is 12/13?
100
Out of 2,598,960 total 5-card poker hands, how many outcomes result in a straight flush?
What is 36?
100
How many suits are in a standard deck of cards, and how many cards are in each suit?
What is 4 suits and 13 cards?
200
If two fair coins are tossed, what is the probability of getting heads on both coins?
What is 1/4?
200
What is the probability that Jim, Bruce, Valerie, and Simon are selected in that exact order out of 33 students?
What is 1/982080 or 0.000001018?
200
What are the simplified odds in favor of drawing a card that is not an ace from a standard deck?
What is 12 to 1?
200
Out of 2,598,960 possible 5-card poker hands, What is the probability of getting a straight? 
What is 10,200/2598960 = 0.003925?
200
Out of 2,598,960 total 5-card poker hands, how many hands contain no pairs?
What is 1,317,888?
(royal flush, straight flush, flush, straight, no pair)
300
When rolling a single six-sided fair die, what is the probability of rolling a number greater than 5 or less than 4?
What is 2/3?
300
In a horse race with 5 horses of equal ability, how many total ways can you pick the 1st, 2nd, and 3rd place winners in exact order?
What is 5P3 = 60 ways?
300
If the probability of an event E is P(E) = 0.37, what are the odds against event E occurring?
What is 63 to 37?
300
What is the probability of being dealt a straight flush in 5-card poker?
What is 36/2598960=0.00001385?
300
When tossing two fair coins (a dime and a quarter), what is the probability of landing heads on the dime?
What is 1/2?
400
When tossing two fair coins, what is the probability of getting the exact same outcome on both coins?
What is 1/2?
400
What is the probability of correctly picking the winning trifecta combination among 5 horses of equal ability?
What is 1/60?
400
If the odds against event E occurring are 3 to 2, what is the probability P(E)?
What is 2/5?
400
What is the probability of being dealt either a straight flush or a straight in 5-card poker?
What is 10,236/2598960=0.003938?
400
If 6 club members sit in consecutive seats, in how many ways can 3 specific friends occupy three adjacent seats? how many ways can 2 specific friends occupy two adjacent seats?
What is 144 and 240 ways?
500
When rolling a pair of standard six-sided dice, what is the probability that the sum of the numbers is 7 or 10?
What is 1/4?
500
If six people arrange themselves randomly in six consecutive seats in a row, how many total seating arrangements exist?
What is 6! = 720 ways?
500
In a jar containing 6 yellow, 3 blue, and 2 red balls, what ratio represents the odds against selecting a blue or yellow ball?
What is 2 to 9?
500
What is the probability of being dealt either a royal flush or a 3 of a kind in 5-card poker? 
What is 54916/2598960=0.02113?
500
If 6 club members sit in consecutive seats, what is the probability that 3 specific friends occupy three adjacent seats out of 720 possible seating arrangements? what is the probability that 2 specific friends occupy two adjacent seats out of 720 possible seating arrangements?
What is 1/5 and 1/3?