In a deck of 52 playing cards (jokers not allowed), how many five-card poker hands containing two pair (but not 3 or 4 of a kind) are possible?

A technology store holds a contest to attract shoppers. works: An ace and four other cards are shuffled and placed face down on a table. The customer gets to turn over cards one at a time, looking for the ace. The person wins $100 of store credit if the ace is the first card, $50 if it is the second card, and $20, $10, or $5 if it is the third, fourth, or last card chosen. What is the average dollar amount of store credit given away in the contest? Estimate with a simulation of 10 trials. Once an hour, someone at checkout is chosen at random to play in the contest Here's how it 67819 00354 91439 91073 49258 15992 41277 75111 67496 68430 09875 08990 27656 15871 23637 00952 97818 64234 50199 05715

A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes to rest in one of many spots.  Whatever is listed in that spot will be the player's winnings.  If the wheel has 8 spots labeled $1, 16 spots labeled $2, and 1 spots labeled $10, how much should a player expect to win on average?

You have been asked to play a card game. A card is dealt from a complete deck offifty-two cards (no jokers). A deck has 4 aces, 4 kings, 4 queens, 4 jacks, and 36 other cards.It works like this:• If the card is a ace, you lose $4.• If the card is a king or jack, you lose $10.• If the card is a queen, you win $8.• If the card is anything else, you win $1.Find the expected value of the game. Write the excepted value rounded to the nearest cent

A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?

From a standard 52-card deck, selecting five cards, how many possible outcomes include only one pair?