In a state's Pick 3 lottery game, you pay $1.29 to select a sequence of three digits (from 0 to 9), such as 722. If you select the same sequence of three digits that are drawn, you win and collect $470.32 a. How many different selections are possible? b. What is the probability of winning? |(Type an integer or a decimal.) c. If you win, what is your net profit?

Ten thousand raffle tickets are sold for $2 each. One first prize of $1400, 3 second prizes of $800 each, and 9 third prizes of $400 each are to be awarded, with all winners selected randomly. If you purchase one ticket, what are your expected winnings? Round your answer to the nearest cent.

You pick 6 digits (0-9) at random without replacement, and write them in the order picked.What is the probability that you have written the first 6 digits of your phone number? Assume there are no repeats of digits in your phone number.Give your answer as a fraction.

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?

Suppose you play a game of rolling a 12-face die. You win if you roll a “3” or “6” or “9”. Otherwise, you lose. a. What is the probability of winning a game? Your answer is 1/4 . Write your answer in decimal number. b.   What is the probability of losing a game? Your answer is   Write your answer in decimal number. c. Suppose you pay $10 to play the game. You get $10 if you win. Otherwise, you lose the $10. What is your expected value of betting on “3”, “6”, “9”. Hint: 10 x (probability of winning) + (–10) x (probability of losing). Your answer is   Write your answer in decimal number. d. What is your expected value of betting on “3”, “6”, “9” for 50 times. Your answer is

The fractions of colors in a population of squirrels is 0.73 red and 0.27 black.   If two are chosen at random, what are the chances they have the same color? Give two digits past decimal.

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.