a. How many different selections are possible? p. What is the probability of winning? c. If you win, what is your net profit? d. Find the expected value. e. If you bet in a certain state's Pick 4 game, the expected value is. Which bet is better, a $ bet in the Pick 3 game or a bet in the Pick 4 game? Explain.

Giving a test to a group of students, the grades and gender are summarized below   If one student was chosen at random, determine the following probabilities. Write your answers as reduced fractions.P(Student was male) =   ?P(Student was female) =  ? P(Student was male and got an "A") =  ?   P(Student was female and got a "B") =   ?P(Student got a "C") =   ?

b. Find the expected number of children. c. Find the expected number of boys they'll have. 14. Carnival A carnival game offers a $100 cash prize for anyone who can break a balloon by throwing a dart at it. It costs $5 to play, and you're willing to spend up to $20 trying to win. You estimate that you have about a 10% chance of hitting the balloon on any throw. a. Create a probability model for this carnival game. b. Find the expected number of darts you'll throw. c. Find your expected winnings. 1 3 ( o Next Content

Suppose that you and a friend are playing cards and decide to make a bet. If you draw three fives in succession from a standard deck of 5252 cards with replacement, you win $70$⁢70. Otherwise, you pay your friend $10$⁢10. What is the expected value of your bet? Round your answer to the nearest cent, if necessary.