In a state's lottery, you can bet $4 by selecting three digits, each between 0 and 9 inclusive. If the same three numbers are drawn in the same order, you win and collect $700. Complete parts (a) through (e). a. How many different selections are possible?

In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways can the 5 numbers be chosen? In how many ways can the 5 numbers be chosen?

Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are displayed a Joker, the casino logo, and various dollar amounts, as shown in the table at the top of the next column. Players may bet on the Joker, the casino logo, or one or more dollar denominations. The wheel is spun and if the wheel stops on the same place as the player's bet, the player wins that amount for each dollar bet. Denomination Number of slots $40 (Joker) 1 $40 (Casino logo) 1 $20 2 $10 4 $5 7 $2 15 $1 24 If a player bets $4 on the $10 denomination, find the player's expectation. (Round your answer to two decimal places.)

Six friends play poker, each starting with $5. All bets are in multiples of $0.10. How many ways are possible for the redistribution of the $30 after the night of poker?